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Finding the Fourth Proportional to 100.14, 138.14 and 63.30

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Solution

The fourth proportional to 100.14, 138.14 and 63.30 is: 87.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.14 : 138.14 = 63.30 : x
  2. Step 2: Convert to fraction form
    100.14/138.14 = 63.30/x
  3. Step 3: Cross multiply
    100.14x = 138.14 × 63.30
  4. Step 4: Simplify right side
    100.14x = 8,743.95
  5. Step 5: Solve for x
    x = 8,743.95/100.14
  6. Step 6: Final answer
    x = 87.32

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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.