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Finding the Fourth Proportional to 102.93, 153.69 and 87.71

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Solution

The fourth proportional to 102.93, 153.69 and 87.71 is: 130.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.93 : 153.69 = 87.71 : x
  2. Step 2: Convert to fraction form
    102.93/153.69 = 87.71/x
  3. Step 3: Cross multiply
    102.93x = 153.69 × 87.71
  4. Step 4: Simplify right side
    102.93x = 13,479.38
  5. Step 5: Solve for x
    x = 13,479.38/102.93
  6. Step 6: Final answer
    x = 130.96

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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.