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Finding the Fourth Proportional to 143.82, 215.61 and 70.74

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Solution

The fourth proportional to 143.82, 215.61 and 70.74 is: 106.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.82 : 215.61 = 70.74 : x
  2. Step 2: Convert to fraction form
    143.82/215.61 = 70.74/x
  3. Step 3: Cross multiply
    143.82x = 215.61 × 70.74
  4. Step 4: Simplify right side
    143.82x = 15,252.25
  5. Step 5: Solve for x
    x = 15,252.25/143.82
  6. Step 6: Final answer
    x = 106.05

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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.