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Finding the Fourth Proportional to 58.31, 80.48 and 32.44

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Solution

The fourth proportional to 58.31, 80.48 and 32.44 is: 44.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.31 : 80.48 = 32.44 : x
  2. Step 2: Convert to fraction form
    58.31/80.48 = 32.44/x
  3. Step 3: Cross multiply
    58.31x = 80.48 × 32.44
  4. Step 4: Simplify right side
    58.31x = 2,610.41
  5. Step 5: Solve for x
    x = 2,610.41/58.31
  6. Step 6: Final answer
    x = 44.77

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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.