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Finding the Fourth Proportional to 102.06, 151.71 and 99.29

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Solution

The fourth proportional to 102.06, 151.71 and 99.29 is: 147.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.06 : 151.71 = 99.29 : x
  2. Step 2: Convert to fraction form
    102.06/151.71 = 99.29/x
  3. Step 3: Cross multiply
    102.06x = 151.71 × 99.29
  4. Step 4: Simplify right side
    102.06x = 15,063.29
  5. Step 5: Solve for x
    x = 15,063.29/102.06
  6. Step 6: Final answer
    x = 147.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.