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Finding the Fourth Proportional to 86.14, 128.57 and 77.14

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Solution

The fourth proportional to 86.14, 128.57 and 77.14 is: 115.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.14 : 128.57 = 77.14 : x
  2. Step 2: Convert to fraction form
    86.14/128.57 = 77.14/x
  3. Step 3: Cross multiply
    86.14x = 128.57 × 77.14
  4. Step 4: Simplify right side
    86.14x = 9,917.89
  5. Step 5: Solve for x
    x = 9,917.89/86.14
  6. Step 6: Final answer
    x = 115.14

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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.