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Finding the Fourth Proportional to 138.24, 207.72 and 123.12

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Solution

The fourth proportional to 138.24, 207.72 and 123.12 is: 185.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.24 : 207.72 = 123.12 : x
  2. Step 2: Convert to fraction form
    138.24/207.72 = 123.12/x
  3. Step 3: Cross multiply
    138.24x = 207.72 × 123.12
  4. Step 4: Simplify right side
    138.24x = 25,574.49
  5. Step 5: Solve for x
    x = 25,574.49/138.24
  6. Step 6: Final answer
    x = 185.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.