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Finding the Fourth Proportional to 86.80, 129.96 and 61

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Solution

The fourth proportional to 86.80, 129.96 and 61 is: 91.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.80 : 129.96 = 61 : x
  2. Step 2: Convert to fraction form
    86.80/129.96 = 61/x
  3. Step 3: Cross multiply
    86.80x = 129.96 × 61
  4. Step 4: Simplify right side
    86.80x = 7,927.56
  5. Step 5: Solve for x
    x = 7,927.56/86.80
  6. Step 6: Final answer
    x = 91.33

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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.