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Finding the Fourth Proportional to 69.18, 104.16 and 53.28

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Solution

The fourth proportional to 69.18, 104.16 and 53.28 is: 80.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.18 : 104.16 = 53.28 : x
  2. Step 2: Convert to fraction form
    69.18/104.16 = 53.28/x
  3. Step 3: Cross multiply
    69.18x = 104.16 × 53.28
  4. Step 4: Simplify right side
    69.18x = 5,549.64
  5. Step 5: Solve for x
    x = 5,549.64/69.18
  6. Step 6: Final answer
    x = 80.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.