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Finding the Fourth Proportional to 95.28, 131.60 and 74.56

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Solution

The fourth proportional to 95.28, 131.60 and 74.56 is: 102.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.28 : 131.60 = 74.56 : x
  2. Step 2: Convert to fraction form
    95.28/131.60 = 74.56/x
  3. Step 3: Cross multiply
    95.28x = 131.60 × 74.56
  4. Step 4: Simplify right side
    95.28x = 9,812.10
  5. Step 5: Solve for x
    x = 9,812.10/95.28
  6. Step 6: Final answer
    x = 102.98

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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.