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Finding the Fourth Proportional to 100, 138.04 and 63.24

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Solution

The fourth proportional to 100, 138.04 and 63.24 is: 87.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    100 : 138.04 = 63.24 : x
  2. Step 2: Convert to fraction form
    100/138.04 = 63.24/x
  3. Step 3: Cross multiply
    100x = 138.04 × 63.24
  4. Step 4: Simplify right side
    100x = 8,729.65
  5. Step 5: Solve for x
    x = 8,729.65/100
  6. Step 6: Final answer
    x = 87.30

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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.