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Finding the Fourth Proportional to 78.12, 117.24 and 54.12

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Solution

The fourth proportional to 78.12, 117.24 and 54.12 is: 81.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.12 : 117.24 = 54.12 : x
  2. Step 2: Convert to fraction form
    78.12/117.24 = 54.12/x
  3. Step 3: Cross multiply
    78.12x = 117.24 × 54.12
  4. Step 4: Simplify right side
    78.12x = 6,345.03
  5. Step 5: Solve for x
    x = 6,345.03/78.12
  6. Step 6: Final answer
    x = 81.22

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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.