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Finding the Fourth Proportional to 59.74, 82.45 and 39.08

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Solution

The fourth proportional to 59.74, 82.45 and 39.08 is: 53.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.74 : 82.45 = 39.08 : x
  2. Step 2: Convert to fraction form
    59.74/82.45 = 39.08/x
  3. Step 3: Cross multiply
    59.74x = 82.45 × 39.08
  4. Step 4: Simplify right side
    59.74x = 3,221.94
  5. Step 5: Solve for x
    x = 3,221.94/59.74
  6. Step 6: Final answer
    x = 53.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.