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Finding the Fourth Proportional to 78.18, 117.36 and 51.15

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Solution

The fourth proportional to 78.18, 117.36 and 51.15 is: 76.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.18 : 117.36 = 51.15 : x
  2. Step 2: Convert to fraction form
    78.18/117.36 = 51.15/x
  3. Step 3: Cross multiply
    78.18x = 117.36 × 51.15
  4. Step 4: Simplify right side
    78.18x = 6,002.96
  5. Step 5: Solve for x
    x = 6,002.96/78.18
  6. Step 6: Final answer
    x = 76.78

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Why These Related Problems?

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