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Finding the Fourth Proportional to 137.04, 204.17 and 128.76

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Solution

The fourth proportional to 137.04, 204.17 and 128.76 is: 191.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.04 : 204.17 = 128.76 : x
  2. Step 2: Convert to fraction form
    137.04/204.17 = 128.76/x
  3. Step 3: Cross multiply
    137.04x = 204.17 × 128.76
  4. Step 4: Simplify right side
    137.04x = 26,288.93
  5. Step 5: Solve for x
    x = 26,288.93/137.04
  6. Step 6: Final answer
    x = 191.83

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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.