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Finding the Fourth Proportional to 78.86, 117.71 and 78.18

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Solution

The fourth proportional to 78.86, 117.71 and 78.18 is: 116.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.86 : 117.71 = 78.18 : x
  2. Step 2: Convert to fraction form
    78.86/117.71 = 78.18/x
  3. Step 3: Cross multiply
    78.86x = 117.71 × 78.18
  4. Step 4: Simplify right side
    78.86x = 9,202.18
  5. Step 5: Solve for x
    x = 9,202.18/78.86
  6. Step 6: Final answer
    x = 116.70

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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.