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Finding the Fourth Proportional to 71.26, 97.63 and 68.53

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Solution

The fourth proportional to 71.26, 97.63 and 68.53 is: 93.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.26 : 97.63 = 68.53 : x
  2. Step 2: Convert to fraction form
    71.26/97.63 = 68.53/x
  3. Step 3: Cross multiply
    71.26x = 97.63 × 68.53
  4. Step 4: Simplify right side
    71.26x = 6,689.75
  5. Step 5: Solve for x
    x = 6,689.75/71.26
  6. Step 6: Final answer
    x = 93.88

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.