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Finding the Fourth Proportional to 95.17, 142.63 and 51.86

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Solution

The fourth proportional to 95.17, 142.63 and 51.86 is: 77.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.17 : 142.63 = 51.86 : x
  2. Step 2: Convert to fraction form
    95.17/142.63 = 51.86/x
  3. Step 3: Cross multiply
    95.17x = 142.63 × 51.86
  4. Step 4: Simplify right side
    95.17x = 7,396.79
  5. Step 5: Solve for x
    x = 7,396.79/95.17
  6. Step 6: Final answer
    x = 77.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.