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Finding the Fourth Proportional to 138.04, 190.29 and 123.46

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Solution

The fourth proportional to 138.04, 190.29 and 123.46 is: 170.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.04 : 190.29 = 123.46 : x
  2. Step 2: Convert to fraction form
    138.04/190.29 = 123.46/x
  3. Step 3: Cross multiply
    138.04x = 190.29 × 123.46
  4. Step 4: Simplify right side
    138.04x = 23,493.20
  5. Step 5: Solve for x
    x = 23,493.20/138.04
  6. Step 6: Final answer
    x = 170.19

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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.