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Finding the Fourth Proportional to 89.57, 124.24 and 85.93

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Solution

The fourth proportional to 89.57, 124.24 and 85.93 is: 119.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.57 : 124.24 = 85.93 : x
  2. Step 2: Convert to fraction form
    89.57/124.24 = 85.93/x
  3. Step 3: Cross multiply
    89.57x = 124.24 × 85.93
  4. Step 4: Simplify right side
    89.57x = 10,674.89
  5. Step 5: Solve for x
    x = 10,674.89/89.57
  6. Step 6: Final answer
    x = 119.18

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.