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Finding the Fourth Proportional to 102.58, 141.42 and 99.52

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Solution

The fourth proportional to 102.58, 141.42 and 99.52 is: 137.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.58 : 141.42 = 99.52 : x
  2. Step 2: Convert to fraction form
    102.58/141.42 = 99.52/x
  3. Step 3: Cross multiply
    102.58x = 141.42 × 99.52
  4. Step 4: Simplify right side
    102.58x = 14,074.12
  5. Step 5: Solve for x
    x = 14,074.12/102.58
  6. Step 6: Final answer
    x = 137.20

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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.