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Finding the Fourth Proportional to 69.91, 96.52 and 53.57

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Solution

The fourth proportional to 69.91, 96.52 and 53.57 is: 73.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.91 : 96.52 = 53.57 : x
  2. Step 2: Convert to fraction form
    69.91/96.52 = 53.57/x
  3. Step 3: Cross multiply
    69.91x = 96.52 × 53.57
  4. Step 4: Simplify right side
    69.91x = 5,170.44
  5. Step 5: Solve for x
    x = 5,170.44/69.91
  6. Step 6: Final answer
    x = 73.96

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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.