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Finding the Fourth Proportional to 102.92, 142.01 and 65.55

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Solution

The fourth proportional to 102.92, 142.01 and 65.55 is: 90.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.92 : 142.01 = 65.55 : x
  2. Step 2: Convert to fraction form
    102.92/142.01 = 65.55/x
  3. Step 3: Cross multiply
    102.92x = 142.01 × 65.55
  4. Step 4: Simplify right side
    102.92x = 9,308.43
  5. Step 5: Solve for x
    x = 9,308.43/102.92
  6. Step 6: Final answer
    x = 90.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.