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Finding the Fourth Proportional to 137.34, 204.89 and 123.66

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Solution

The fourth proportional to 137.34, 204.89 and 123.66 is: 184.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.34 : 204.89 = 123.66 : x
  2. Step 2: Convert to fraction form
    137.34/204.89 = 123.66/x
  3. Step 3: Cross multiply
    137.34x = 204.89 × 123.66
  4. Step 4: Simplify right side
    137.34x = 25,336.08
  5. Step 5: Solve for x
    x = 25,336.08/137.34
  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.