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Finding the Fourth Proportional to 123.92, 186.58 and 89.90

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Solution

The fourth proportional to 123.92, 186.58 and 89.90 is: 135.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.92 : 186.58 = 89.90 : x
  2. Step 2: Convert to fraction form
    123.92/186.58 = 89.90/x
  3. Step 3: Cross multiply
    123.92x = 186.58 × 89.90
  4. Step 4: Simplify right side
    123.92x = 16,773.54
  5. Step 5: Solve for x
    x = 16,773.54/123.92
  6. Step 6: Final answer
    x = 135.36

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.