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Finding the Fourth Proportional to 59.20, 88.31 and 54.09

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Solution

The fourth proportional to 59.20, 88.31 and 54.09 is: 80.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.20 : 88.31 = 54.09 : x
  2. Step 2: Convert to fraction form
    59.20/88.31 = 54.09/x
  3. Step 3: Cross multiply
    59.20x = 88.31 × 54.09
  4. Step 4: Simplify right side
    59.20x = 4,776.82
  5. Step 5: Solve for x
    x = 4,776.82/59.20
  6. Step 6: Final answer
    x = 80.69

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