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Finding the Fourth Proportional to 136.53, 203.81 and 117.16

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Solution

The fourth proportional to 136.53, 203.81 and 117.16 is: 174.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.53 : 203.81 = 117.16 : x
  2. Step 2: Convert to fraction form
    136.53/203.81 = 117.16/x
  3. Step 3: Cross multiply
    136.53x = 203.81 × 117.16
  4. Step 4: Simplify right side
    136.53x = 23,877.28
  5. Step 5: Solve for x
    x = 23,877.28/136.53
  6. Step 6: Final answer
    x = 174.89

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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.