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Finding the Fourth Proportional to 89.65, 123.40 and 63.73

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Solution

The fourth proportional to 89.65, 123.40 and 63.73 is: 87.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.65 : 123.40 = 63.73 : x
  2. Step 2: Convert to fraction form
    89.65/123.40 = 63.73/x
  3. Step 3: Cross multiply
    89.65x = 123.40 × 63.73
  4. Step 4: Simplify right side
    89.65x = 7,864.28
  5. Step 5: Solve for x
    x = 7,864.28/89.65
  6. Step 6: Final answer
    x = 87.72

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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.