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Finding the Fourth Proportional to 78.10, 117.18 and 43.88

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Solution

The fourth proportional to 78.10, 117.18 and 43.88 is: 65.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.10 : 117.18 = 43.88 : x
  2. Step 2: Convert to fraction form
    78.10/117.18 = 43.88/x
  3. Step 3: Cross multiply
    78.10x = 117.18 × 43.88
  4. Step 4: Simplify right side
    78.10x = 5,141.27
  5. Step 5: Solve for x
    x = 5,141.27/78.10
  6. Step 6: Final answer
    x = 65.83

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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.