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Finding the Fourth Proportional to 89.57, 123.57 and 71.12

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Solution

The fourth proportional to 89.57, 123.57 and 71.12 is: 98.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.57 : 123.57 = 71.12 : x
  2. Step 2: Convert to fraction form
    89.57/123.57 = 71.12/x
  3. Step 3: Cross multiply
    89.57x = 123.57 × 71.12
  4. Step 4: Simplify right side
    89.57x = 8,788.61
  5. Step 5: Solve for x
    x = 8,788.61/89.57
  6. Step 6: Final answer
    x = 98.12

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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.