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Finding the Fourth Proportional to 95.57, 131.76 and 74.81

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Solution

The fourth proportional to 95.57, 131.76 and 74.81 is: 103.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.57 : 131.76 = 74.81 : x
  2. Step 2: Convert to fraction form
    95.57/131.76 = 74.81/x
  3. Step 3: Cross multiply
    95.57x = 131.76 × 74.81
  4. Step 4: Simplify right side
    95.57x = 9,856.77
  5. Step 5: Solve for x
    x = 9,856.77/95.57
  6. Step 6: Final answer
    x = 103.14

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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.