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Finding the Fourth Proportional to 136.31, 204.49 and 64.13

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Solution

The fourth proportional to 136.31, 204.49 and 64.13 is: 96.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.31 : 204.49 = 64.13 : x
  2. Step 2: Convert to fraction form
    136.31/204.49 = 64.13/x
  3. Step 3: Cross multiply
    136.31x = 204.49 × 64.13
  4. Step 4: Simplify right side
    136.31x = 13,112.76
  5. Step 5: Solve for x
    x = 13,112.76/136.31
  6. Step 6: Final answer
    x = 96.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.