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Finding the Fourth Proportional to 136.71, 205.02 and 55.53

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Solution

The fourth proportional to 136.71, 205.02 and 55.53 is: 83.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.71 : 205.02 = 55.53 : x
  2. Step 2: Convert to fraction form
    136.71/205.02 = 55.53/x
  3. Step 3: Cross multiply
    136.71x = 205.02 × 55.53
  4. Step 4: Simplify right side
    136.71x = 11,384.76
  5. Step 5: Solve for x
    x = 11,384.76/136.71
  6. Step 6: Final answer
    x = 83.28

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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.