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Finding the Fourth Proportional to 95.12, 142.45 and 53.92

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Solution

The fourth proportional to 95.12, 142.45 and 53.92 is: 80.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.12 : 142.45 = 53.92 : x
  2. Step 2: Convert to fraction form
    95.12/142.45 = 53.92/x
  3. Step 3: Cross multiply
    95.12x = 142.45 × 53.92
  4. Step 4: Simplify right side
    95.12x = 7,680.41
  5. Step 5: Solve for x
    x = 7,680.41/95.12
  6. Step 6: Final answer
    x = 80.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.