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Finding the Fourth Proportional to 89.76, 123.88 and 55.24

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Solution

The fourth proportional to 89.76, 123.88 and 55.24 is: 76.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.76 : 123.88 = 55.24 : x
  2. Step 2: Convert to fraction form
    89.76/123.88 = 55.24/x
  3. Step 3: Cross multiply
    89.76x = 123.88 × 55.24
  4. Step 4: Simplify right side
    89.76x = 6,843.13
  5. Step 5: Solve for x
    x = 6,843.13/89.76
  6. Step 6: Final answer
    x = 76.24

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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.