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Finding the Fourth Proportional to 82.44, 123.54 and 59.31

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Solution

The fourth proportional to 82.44, 123.54 and 59.31 is: 88.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.44 : 123.54 = 59.31 : x
  2. Step 2: Convert to fraction form
    82.44/123.54 = 59.31/x
  3. Step 3: Cross multiply
    82.44x = 123.54 × 59.31
  4. Step 4: Simplify right side
    82.44x = 7,327.16
  5. Step 5: Solve for x
    x = 7,327.16/82.44
  6. Step 6: Final answer
    x = 88.88

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