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Finding the Fourth Proportional to 71.32, 97.88 and 69.52

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Solution

The fourth proportional to 71.32, 97.88 and 69.52 is: 95.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.32 : 97.88 = 69.52 : x
  2. Step 2: Convert to fraction form
    71.32/97.88 = 69.52/x
  3. Step 3: Cross multiply
    71.32x = 97.88 × 69.52
  4. Step 4: Simplify right side
    71.32x = 6,804.62
  5. Step 5: Solve for x
    x = 6,804.62/71.32
  6. Step 6: Final answer
    x = 95.41

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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.