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Finding the Fourth Proportional to 95.54, 131.84 and 51.87

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Solution

The fourth proportional to 95.54, 131.84 and 51.87 is: 71.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.54 : 131.84 = 51.87 : x
  2. Step 2: Convert to fraction form
    95.54/131.84 = 51.87/x
  3. Step 3: Cross multiply
    95.54x = 131.84 × 51.87
  4. Step 4: Simplify right side
    95.54x = 6,838.48
  5. Step 5: Solve for x
    x = 6,838.48/95.54
  6. Step 6: Final answer
    x = 71.58

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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.