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Finding the Fourth Proportional to 89.83, 123.92 and 63.97

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Solution

The fourth proportional to 89.83, 123.92 and 63.97 is: 88.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.83 : 123.92 = 63.97 : x
  2. Step 2: Convert to fraction form
    89.83/123.92 = 63.97/x
  3. Step 3: Cross multiply
    89.83x = 123.92 × 63.97
  4. Step 4: Simplify right side
    89.83x = 7,926.77
  5. Step 5: Solve for x
    x = 7,926.77/89.83
  6. Step 6: Final answer
    x = 88.24

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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.