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Finding the Fourth Proportional to 76.24, 113.68 and 67.76

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Solution

The fourth proportional to 76.24, 113.68 and 67.76 is: 101.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.24 : 113.68 = 67.76 : x
  2. Step 2: Convert to fraction form
    76.24/113.68 = 67.76/x
  3. Step 3: Cross multiply
    76.24x = 113.68 × 67.76
  4. Step 4: Simplify right side
    76.24x = 7,702.96
  5. Step 5: Solve for x
    x = 7,702.96/76.24
  6. Step 6: Final answer
    x = 101.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.