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Finding the Fourth Proportional to 137.40, 204.96 and 123.72

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Solution

The fourth proportional to 137.40, 204.96 and 123.72 is: 184.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.40 : 204.96 = 123.72 : x
  2. Step 2: Convert to fraction form
    137.40/204.96 = 123.72/x
  3. Step 3: Cross multiply
    137.40x = 204.96 × 123.72
  4. Step 4: Simplify right side
    137.40x = 25,357.65
  5. Step 5: Solve for x
    x = 25,357.65/137.40
  6. Step 6: Final answer
    x = 184.55

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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.