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Finding the Fourth Proportional to 86.25, 128.60 and 81.66

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Solution

The fourth proportional to 86.25, 128.60 and 81.66 is: 121.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.25 : 128.60 = 81.66 : x
  2. Step 2: Convert to fraction form
    86.25/128.60 = 81.66/x
  3. Step 3: Cross multiply
    86.25x = 128.60 × 81.66
  4. Step 4: Simplify right side
    86.25x = 10,501.48
  5. Step 5: Solve for x
    x = 10,501.48/86.25
  6. Step 6: Final answer
    x = 121.76

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.