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Finding the Fourth Proportional to 89.20, 123.14 and 61.60

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Solution

The fourth proportional to 89.20, 123.14 and 61.60 is: 85.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.20 : 123.14 = 61.60 : x
  2. Step 2: Convert to fraction form
    89.20/123.14 = 61.60/x
  3. Step 3: Cross multiply
    89.20x = 123.14 × 61.60
  4. Step 4: Simplify right side
    89.20x = 7,585.42
  5. Step 5: Solve for x
    x = 7,585.42/89.20
  6. Step 6: Final answer
    x = 85.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.