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Finding the Fourth Proportional to 95.34, 131.32 and 73.24

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Solution

The fourth proportional to 95.34, 131.32 and 73.24 is: 100.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.34 : 131.32 = 73.24 : x
  2. Step 2: Convert to fraction form
    95.34/131.32 = 73.24/x
  3. Step 3: Cross multiply
    95.34x = 131.32 × 73.24
  4. Step 4: Simplify right side
    95.34x = 9,617.22
  5. Step 5: Solve for x
    x = 9,617.22/95.34
  6. Step 6: Final answer
    x = 100.87

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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.