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Finding the Fourth Proportional to 134.20, 201.09 and 64.71

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Solution

The fourth proportional to 134.20, 201.09 and 64.71 is: 96.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.20 : 201.09 = 64.71 : x
  2. Step 2: Convert to fraction form
    134.20/201.09 = 64.71/x
  3. Step 3: Cross multiply
    134.20x = 201.09 × 64.71
  4. Step 4: Simplify right side
    134.20x = 13,012.78
  5. Step 5: Solve for x
    x = 13,012.78/134.20
  6. Step 6: Final answer
    x = 96.96

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Why These Related Problems?

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