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Finding the Fourth Proportional to 58.64, 80.92 and 32.41

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Solution

The fourth proportional to 58.64, 80.92 and 32.41 is: 44.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.64 : 80.92 = 32.41 : x
  2. Step 2: Convert to fraction form
    58.64/80.92 = 32.41/x
  3. Step 3: Cross multiply
    58.64x = 80.92 × 32.41
  4. Step 4: Simplify right side
    58.64x = 2,622.90
  5. Step 5: Solve for x
    x = 2,622.90/58.64
  6. Step 6: Final answer
    x = 44.73

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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.