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Finding the Fourth Proportional to 95.40, 131.54 and 74.61

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Solution

The fourth proportional to 95.40, 131.54 and 74.61 is: 102.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.40 : 131.54 = 74.61 : x
  2. Step 2: Convert to fraction form
    95.40/131.54 = 74.61/x
  3. Step 3: Cross multiply
    95.40x = 131.54 × 74.61
  4. Step 4: Simplify right side
    95.40x = 9,813.83
  5. Step 5: Solve for x
    x = 9,813.83/95.40
  6. Step 6: Final answer
    x = 102.87

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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.