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Finding the Fourth Proportional to 134.57, 201.87 and 43.23

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Solution

The fourth proportional to 134.57, 201.87 and 43.23 is: 64.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.57 : 201.87 = 43.23 : x
  2. Step 2: Convert to fraction form
    134.57/201.87 = 43.23/x
  3. Step 3: Cross multiply
    134.57x = 201.87 × 43.23
  4. Step 4: Simplify right side
    134.57x = 8,727.60
  5. Step 5: Solve for x
    x = 8,727.60/134.57
  6. Step 6: Final answer
    x = 64.86

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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.