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Finding the Fourth Proportional to 102.71, 141.69 and 102.25

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Solution

The fourth proportional to 102.71, 141.69 and 102.25 is: 141.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.71 : 141.69 = 102.25 : x
  2. Step 2: Convert to fraction form
    102.71/141.69 = 102.25/x
  3. Step 3: Cross multiply
    102.71x = 141.69 × 102.25
  4. Step 4: Simplify right side
    102.71x = 14,488.36
  5. Step 5: Solve for x
    x = 14,488.36/102.71
  6. Step 6: Final answer
    x = 141.07

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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.