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Finding the Fourth Proportional to 78.86, 118.18 and 46.30

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Solution

The fourth proportional to 78.86, 118.18 and 46.30 is: 69.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.86 : 118.18 = 46.30 : x
  2. Step 2: Convert to fraction form
    78.86/118.18 = 46.30/x
  3. Step 3: Cross multiply
    78.86x = 118.18 × 46.30
  4. Step 4: Simplify right side
    78.86x = 5,470.91
  5. Step 5: Solve for x
    x = 5,470.91/78.86
  6. Step 6: Final answer
    x = 69.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.