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Finding the Fourth Proportional to 89.43, 133.57 and 75.76

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Solution

The fourth proportional to 89.43, 133.57 and 75.76 is: 113.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.43 : 133.57 = 75.76 : x
  2. Step 2: Convert to fraction form
    89.43/133.57 = 75.76/x
  3. Step 3: Cross multiply
    89.43x = 133.57 × 75.76
  4. Step 4: Simplify right side
    89.43x = 10,119.26
  5. Step 5: Solve for x
    x = 10,119.26/89.43
  6. Step 6: Final answer
    x = 113.15

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