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Finding the Fourth Proportional to 85.48, 117.24 and 75.76

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Solution

The fourth proportional to 85.48, 117.24 and 75.76 is: 103.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.48 : 117.24 = 75.76 : x
  2. Step 2: Convert to fraction form
    85.48/117.24 = 75.76/x
  3. Step 3: Cross multiply
    85.48x = 117.24 × 75.76
  4. Step 4: Simplify right side
    85.48x = 8,882.10
  5. Step 5: Solve for x
    x = 8,882.10/85.48
  6. Step 6: Final answer
    x = 103.91

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.