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Finding the Fourth Proportional to 137.24, 204.31 and 136.52

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Solution

The fourth proportional to 137.24, 204.31 and 136.52 is: 203.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.24 : 204.31 = 136.52 : x
  2. Step 2: Convert to fraction form
    137.24/204.31 = 136.52/x
  3. Step 3: Cross multiply
    137.24x = 204.31 × 136.52
  4. Step 4: Simplify right side
    137.24x = 27,892.40
  5. Step 5: Solve for x
    x = 27,892.40/137.24
  6. Step 6: Final answer
    x = 203.24

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