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Finding the Fourth Proportional to 71.93, 99.29 and 69.65

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Solution

The fourth proportional to 71.93, 99.29 and 69.65 is: 96.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.93 : 99.29 = 69.65 : x
  2. Step 2: Convert to fraction form
    71.93/99.29 = 69.65/x
  3. Step 3: Cross multiply
    71.93x = 99.29 × 69.65
  4. Step 4: Simplify right side
    71.93x = 6,915.55
  5. Step 5: Solve for x
    x = 6,915.55/71.93
  6. Step 6: Final answer
    x = 96.14

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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.