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Finding the Fourth Proportional to 95.74, 132.08 and 56.33

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Solution

The fourth proportional to 95.74, 132.08 and 56.33 is: 77.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.74 : 132.08 = 56.33 : x
  2. Step 2: Convert to fraction form
    95.74/132.08 = 56.33/x
  3. Step 3: Cross multiply
    95.74x = 132.08 × 56.33
  4. Step 4: Simplify right side
    95.74x = 7,439.30
  5. Step 5: Solve for x
    x = 7,439.30/95.74
  6. Step 6: Final answer
    x = 77.71

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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.