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Finding the Fourth Proportional to 76.29, 105.17 and 74.85

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Solution

The fourth proportional to 76.29, 105.17 and 74.85 is: 103.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.29 : 105.17 = 74.85 : x
  2. Step 2: Convert to fraction form
    76.29/105.17 = 74.85/x
  3. Step 3: Cross multiply
    76.29x = 105.17 × 74.85
  4. Step 4: Simplify right side
    76.29x = 7,871.60
  5. Step 5: Solve for x
    x = 7,871.60/76.29
  6. Step 6: Final answer
    x = 103.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.