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Finding the Fourth Proportional to 143.84, 215.86 and 120.08

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Solution

The fourth proportional to 143.84, 215.86 and 120.08 is: 180.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.84 : 215.86 = 120.08 : x
  2. Step 2: Convert to fraction form
    143.84/215.86 = 120.08/x
  3. Step 3: Cross multiply
    143.84x = 215.86 × 120.08
  4. Step 4: Simplify right side
    143.84x = 25,920.47
  5. Step 5: Solve for x
    x = 25,920.47/143.84
  6. Step 6: Final answer
    x = 180.20

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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.