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Finding the Fourth Proportional to 136.74, 204.37 and 117.60

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Solution

The fourth proportional to 136.74, 204.37 and 117.60 is: 175.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.74 : 204.37 = 117.60 : x
  2. Step 2: Convert to fraction form
    136.74/204.37 = 117.60/x
  3. Step 3: Cross multiply
    136.74x = 204.37 × 117.60
  4. Step 4: Simplify right side
    136.74x = 24,033.62
  5. Step 5: Solve for x
    x = 24,033.62/136.74
  6. Step 6: Final answer
    x = 175.76

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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.