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Finding the Fourth Proportional to 59.03, 81.46 and 32.80

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Solution

The fourth proportional to 59.03, 81.46 and 32.80 is: 45.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.03 : 81.46 = 32.80 : x
  2. Step 2: Convert to fraction form
    59.03/81.46 = 32.80/x
  3. Step 3: Cross multiply
    59.03x = 81.46 × 32.80
  4. Step 4: Simplify right side
    59.03x = 2,671.89
  5. Step 5: Solve for x
    x = 2,671.89/59.03
  6. Step 6: Final answer
    x = 45.26

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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.