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Finding the Fourth Proportional to 75.76, 113.03 and 66.76

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Solution

The fourth proportional to 75.76, 113.03 and 66.76 is: 99.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.76 : 113.03 = 66.76 : x
  2. Step 2: Convert to fraction form
    75.76/113.03 = 66.76/x
  3. Step 3: Cross multiply
    75.76x = 113.03 × 66.76
  4. Step 4: Simplify right side
    75.76x = 7,545.88
  5. Step 5: Solve for x
    x = 7,545.88/75.76
  6. Step 6: Final answer
    x = 99.60

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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.