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Finding the Fourth Proportional to 86.35, 128.86 and 78.69

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Solution

The fourth proportional to 86.35, 128.86 and 78.69 is: 117.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.35 : 128.86 = 78.69 : x
  2. Step 2: Convert to fraction form
    86.35/128.86 = 78.69/x
  3. Step 3: Cross multiply
    86.35x = 128.86 × 78.69
  4. Step 4: Simplify right side
    86.35x = 10,139.99
  5. Step 5: Solve for x
    x = 10,139.99/86.35
  6. Step 6: Final answer
    x = 117.43

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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.