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Finding the Fourth Proportional to 143.84, 215.77 and 109.67

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Solution

The fourth proportional to 143.84, 215.77 and 109.67 is: 164.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.84 : 215.77 = 109.67 : x
  2. Step 2: Convert to fraction form
    143.84/215.77 = 109.67/x
  3. Step 3: Cross multiply
    143.84x = 215.77 × 109.67
  4. Step 4: Simplify right side
    143.84x = 23,662.14
  5. Step 5: Solve for x
    x = 23,662.14/143.84
  6. Step 6: Final answer
    x = 164.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.