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Finding the Fourth Proportional to 95.74, 132.09 and 54.28

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Solution

The fourth proportional to 95.74, 132.09 and 54.28 is: 74.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.74 : 132.09 = 54.28 : x
  2. Step 2: Convert to fraction form
    95.74/132.09 = 54.28/x
  3. Step 3: Cross multiply
    95.74x = 132.09 × 54.28
  4. Step 4: Simplify right side
    95.74x = 7,170.11
  5. Step 5: Solve for x
    x = 7,170.11/95.74
  6. Step 6: Final answer
    x = 74.89

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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.