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Finding the Fourth Proportional to 89.81, 134.76 and 75.53

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Solution

The fourth proportional to 89.81, 134.76 and 75.53 is: 113.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.81 : 134.76 = 75.53 : x
  2. Step 2: Convert to fraction form
    89.81/134.76 = 75.53/x
  3. Step 3: Cross multiply
    89.81x = 134.76 × 75.53
  4. Step 4: Simplify right side
    89.81x = 10,179.04
  5. Step 5: Solve for x
    x = 10,179.04/89.81
  6. Step 6: Final answer
    x = 113.34

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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.