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Finding the Fourth Proportional to 95.56, 131.76 and 61

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Solution

The fourth proportional to 95.56, 131.76 and 61 is: 84.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.56 : 131.76 = 61 : x
  2. Step 2: Convert to fraction form
    95.56/131.76 = 61/x
  3. Step 3: Cross multiply
    95.56x = 131.76 × 61
  4. Step 4: Simplify right side
    95.56x = 8,037.36
  5. Step 5: Solve for x
    x = 8,037.36/95.56
  6. Step 6: Final answer
    x = 84.11

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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.