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Finding the Fourth Proportional to 95.16, 142.56 and 51.76

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Solution

The fourth proportional to 95.16, 142.56 and 51.76 is: 77.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.16 : 142.56 = 51.76 : x
  2. Step 2: Convert to fraction form
    95.16/142.56 = 51.76/x
  3. Step 3: Cross multiply
    95.16x = 142.56 × 51.76
  4. Step 4: Simplify right side
    95.16x = 7,378.91
  5. Step 5: Solve for x
    x = 7,378.91/95.16
  6. Step 6: Final answer
    x = 77.54

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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.