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Finding the Fourth Proportional to 78.48, 117.72 and 27.12

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Solution

The fourth proportional to 78.48, 117.72 and 27.12 is: 40.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.48 : 117.72 = 27.12 : x
  2. Step 2: Convert to fraction form
    78.48/117.72 = 27.12/x
  3. Step 3: Cross multiply
    78.48x = 117.72 × 27.12
  4. Step 4: Simplify right side
    78.48x = 3,192.57
  5. Step 5: Solve for x
    x = 3,192.57/78.48
  6. Step 6: Final answer
    x = 40.68

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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.