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Finding the Fourth Proportional to 78.62, 117.72 and 67.14

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Solution

The fourth proportional to 78.62, 117.72 and 67.14 is: 100.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.62 : 117.72 = 67.14 : x
  2. Step 2: Convert to fraction form
    78.62/117.72 = 67.14/x
  3. Step 3: Cross multiply
    78.62x = 117.72 × 67.14
  4. Step 4: Simplify right side
    78.62x = 7,903.72
  5. Step 5: Solve for x
    x = 7,903.72/78.62
  6. Step 6: Final answer
    x = 100.53

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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.