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Finding the Fourth Proportional to 95.24, 142.76 and 75.90

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Solution

The fourth proportional to 95.24, 142.76 and 75.90 is: 113.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.24 : 142.76 = 75.90 : x
  2. Step 2: Convert to fraction form
    95.24/142.76 = 75.90/x
  3. Step 3: Cross multiply
    95.24x = 142.76 × 75.90
  4. Step 4: Simplify right side
    95.24x = 10,835.48
  5. Step 5: Solve for x
    x = 10,835.48/95.24
  6. Step 6: Final answer
    x = 113.77

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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.