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Finding the Fourth Proportional to 95.09, 131.20 and 55.76

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Solution

The fourth proportional to 95.09, 131.20 and 55.76 is: 76.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.09 : 131.20 = 55.76 : x
  2. Step 2: Convert to fraction form
    95.09/131.20 = 55.76/x
  3. Step 3: Cross multiply
    95.09x = 131.20 × 55.76
  4. Step 4: Simplify right side
    95.09x = 7,314.92
  5. Step 5: Solve for x
    x = 7,314.92/95.09
  6. Step 6: Final answer
    x = 76.93

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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.