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Finding the Fourth Proportional to 137.46, 205.02 and 123.69

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Solution

The fourth proportional to 137.46, 205.02 and 123.69 is: 184.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.46 : 205.02 = 123.69 : x
  2. Step 2: Convert to fraction form
    137.46/205.02 = 123.69/x
  3. Step 3: Cross multiply
    137.46x = 205.02 × 123.69
  4. Step 4: Simplify right side
    137.46x = 25,358.92
  5. Step 5: Solve for x
    x = 25,358.92/137.46
  6. Step 6: Final answer
    x = 184.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.