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Finding the Fourth Proportional to 89.96, 134.72 and 75.60

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Solution

The fourth proportional to 89.96, 134.72 and 75.60 is: 113.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.96 : 134.72 = 75.60 : x
  2. Step 2: Convert to fraction form
    89.96/134.72 = 75.60/x
  3. Step 3: Cross multiply
    89.96x = 134.72 × 75.60
  4. Step 4: Simplify right side
    89.96x = 10,184.83
  5. Step 5: Solve for x
    x = 10,184.83/89.96
  6. Step 6: Final answer
    x = 113.22

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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.