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Finding the Fourth Proportional to 59.12, 81.47 and 45.31

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Solution

The fourth proportional to 59.12, 81.47 and 45.31 is: 62.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.12 : 81.47 = 45.31 : x
  2. Step 2: Convert to fraction form
    59.12/81.47 = 45.31/x
  3. Step 3: Cross multiply
    59.12x = 81.47 × 45.31
  4. Step 4: Simplify right side
    59.12x = 3,690.77
  5. Step 5: Solve for x
    x = 3,690.77/59.12
  6. Step 6: Final answer
    x = 62.43

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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.