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Finding the Fourth Proportional to 123.04, 169.92 and 100.03

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Solution

The fourth proportional to 123.04, 169.92 and 100.03 is: 138.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.04 : 169.92 = 100.03 : x
  2. Step 2: Convert to fraction form
    123.04/169.92 = 100.03/x
  3. Step 3: Cross multiply
    123.04x = 169.92 × 100.03
  4. Step 4: Simplify right side
    123.04x = 16,997.10
  5. Step 5: Solve for x
    x = 16,997.10/123.04
  6. Step 6: Final answer
    x = 138.14

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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.