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Finding the Fourth Proportional to 69.32, 103.90 and 54.16

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Solution

The fourth proportional to 69.32, 103.90 and 54.16 is: 81.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.32 : 103.90 = 54.16 : x
  2. Step 2: Convert to fraction form
    69.32/103.90 = 54.16/x
  3. Step 3: Cross multiply
    69.32x = 103.90 × 54.16
  4. Step 4: Simplify right side
    69.32x = 5,627.22
  5. Step 5: Solve for x
    x = 5,627.22/69.32
  6. Step 6: Final answer
    x = 81.18

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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.