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Finding the Fourth Proportional to 86.69, 129.33 and 78.84

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Solution

The fourth proportional to 86.69, 129.33 and 78.84 is: 117.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.69 : 129.33 = 78.84 : x
  2. Step 2: Convert to fraction form
    86.69/129.33 = 78.84/x
  3. Step 3: Cross multiply
    86.69x = 129.33 × 78.84
  4. Step 4: Simplify right side
    86.69x = 10,196.38
  5. Step 5: Solve for x
    x = 10,196.38/86.69
  6. Step 6: Final answer
    x = 117.63

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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.