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Finding the Fourth Proportional to 86.72, 129.98 and 32.56

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Solution

The fourth proportional to 86.72, 129.98 and 32.56 is: 48.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.72 : 129.98 = 32.56 : x
  2. Step 2: Convert to fraction form
    86.72/129.98 = 32.56/x
  3. Step 3: Cross multiply
    86.72x = 129.98 × 32.56
  4. Step 4: Simplify right side
    86.72x = 4,232.15
  5. Step 5: Solve for x
    x = 4,232.15/86.72
  6. Step 6: Final answer
    x = 48.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.