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Finding the Fourth Proportional to 76.32, 113.70 and 74.76

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Solution

The fourth proportional to 76.32, 113.70 and 74.76 is: 111.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.32 : 113.70 = 74.76 : x
  2. Step 2: Convert to fraction form
    76.32/113.70 = 74.76/x
  3. Step 3: Cross multiply
    76.32x = 113.70 × 74.76
  4. Step 4: Simplify right side
    76.32x = 8,500.21
  5. Step 5: Solve for x
    x = 8,500.21/76.32
  6. Step 6: Final answer
    x = 111.38

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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.