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Finding the Fourth Proportional to 89.92, 124.06 and 57.18

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Solution

The fourth proportional to 89.92, 124.06 and 57.18 is: 78.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.92 : 124.06 = 57.18 : x
  2. Step 2: Convert to fraction form
    89.92/124.06 = 57.18/x
  3. Step 3: Cross multiply
    89.92x = 124.06 × 57.18
  4. Step 4: Simplify right side
    89.92x = 7,093.75
  5. Step 5: Solve for x
    x = 7,093.75/89.92
  6. Step 6: Final answer
    x = 78.89

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Why These Related Problems?

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