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Finding the Fourth Proportional to 102.54, 142.47 and 101.25

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Solution

The fourth proportional to 102.54, 142.47 and 101.25 is: 140.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.54 : 142.47 = 101.25 : x
  2. Step 2: Convert to fraction form
    102.54/142.47 = 101.25/x
  3. Step 3: Cross multiply
    102.54x = 142.47 × 101.25
  4. Step 4: Simplify right side
    102.54x = 14,425.09
  5. Step 5: Solve for x
    x = 14,425.09/102.54
  6. Step 6: Final answer
    x = 140.68

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.