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Finding the Fourth Proportional to 59.76, 89.24 and 55.44

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Solution

The fourth proportional to 59.76, 89.24 and 55.44 is: 82.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.76 : 89.24 = 55.44 : x
  2. Step 2: Convert to fraction form
    59.76/89.24 = 55.44/x
  3. Step 3: Cross multiply
    59.76x = 89.24 × 55.44
  4. Step 4: Simplify right side
    59.76x = 4,947.19
  5. Step 5: Solve for x
    x = 4,947.19/59.76
  6. Step 6: Final answer
    x = 82.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.