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Finding the Fourth Proportional to 89.87, 124.04 and 54.88

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Solution

The fourth proportional to 89.87, 124.04 and 54.88 is: 75.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.87 : 124.04 = 54.88 : x
  2. Step 2: Convert to fraction form
    89.87/124.04 = 54.88/x
  3. Step 3: Cross multiply
    89.87x = 124.04 × 54.88
  4. Step 4: Simplify right side
    89.87x = 6,807.14
  5. Step 5: Solve for x
    x = 6,807.14/89.87
  6. Step 6: Final answer
    x = 75.75

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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.