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Finding the Fourth Proportional to 103.81, 144 and 100.12

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Solution

The fourth proportional to 103.81, 144 and 100.12 is: 138.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.81 : 144 = 100.12 : x
  2. Step 2: Convert to fraction form
    103.81/144 = 100.12/x
  3. Step 3: Cross multiply
    103.81x = 144 × 100.12
  4. Step 4: Simplify right side
    103.81x = 14,417.28
  5. Step 5: Solve for x
    x = 14,417.28/103.81
  6. Step 6: Final answer
    x = 138.88

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.