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Finding the Fourth Proportional to 59.26, 89 and 54.52

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Solution

The fourth proportional to 59.26, 89 and 54.52 is: 81.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.26 : 89 = 54.52 : x
  2. Step 2: Convert to fraction form
    59.26/89 = 54.52/x
  3. Step 3: Cross multiply
    59.26x = 89 × 54.52
  4. Step 4: Simplify right side
    59.26x = 4,852.28
  5. Step 5: Solve for x
    x = 4,852.28/59.26
  6. Step 6: Final answer
    x = 81.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.