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Finding the Fourth Proportional to 100.22, 138.28 and 69.16

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Solution

The fourth proportional to 100.22, 138.28 and 69.16 is: 95.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.22 : 138.28 = 69.16 : x
  2. Step 2: Convert to fraction form
    100.22/138.28 = 69.16/x
  3. Step 3: Cross multiply
    100.22x = 138.28 × 69.16
  4. Step 4: Simplify right side
    100.22x = 9,563.44
  5. Step 5: Solve for x
    x = 9,563.44/100.22
  6. Step 6: Final answer
    x = 95.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.