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Finding the Fourth Proportional to 89.58, 134.19 and 76.02

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Solution

The fourth proportional to 89.58, 134.19 and 76.02 is: 113.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.58 : 134.19 = 76.02 : x
  2. Step 2: Convert to fraction form
    89.58/134.19 = 76.02/x
  3. Step 3: Cross multiply
    89.58x = 134.19 × 76.02
  4. Step 4: Simplify right side
    89.58x = 10,200.45
  5. Step 5: Solve for x
    x = 10,200.45/89.58
  6. Step 6: Final answer
    x = 113.88

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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.