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Finding the Fourth Proportional to 75.76, 113.66 and 66.80

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Solution

The fourth proportional to 75.76, 113.66 and 66.80 is: 100.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.76 : 113.66 = 66.80 : x
  2. Step 2: Convert to fraction form
    75.76/113.66 = 66.80/x
  3. Step 3: Cross multiply
    75.76x = 113.66 × 66.80
  4. Step 4: Simplify right side
    75.76x = 7,592.49
  5. Step 5: Solve for x
    x = 7,592.49/75.76
  6. Step 6: Final answer
    x = 100.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.