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Finding the Fourth Proportional to 59.11, 81.54 and 45.97

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Solution

The fourth proportional to 59.11, 81.54 and 45.97 is: 63.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.11 : 81.54 = 45.97 : x
  2. Step 2: Convert to fraction form
    59.11/81.54 = 45.97/x
  3. Step 3: Cross multiply
    59.11x = 81.54 × 45.97
  4. Step 4: Simplify right side
    59.11x = 3,748.42
  5. Step 5: Solve for x
    x = 3,748.42/59.11
  6. Step 6: Final answer
    x = 63.42

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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.