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Finding the Fourth Proportional to 134.85, 202.29 and 53.71

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Solution

The fourth proportional to 134.85, 202.29 and 53.71 is: 80.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.85 : 202.29 = 53.71 : x
  2. Step 2: Convert to fraction form
    134.85/202.29 = 53.71/x
  3. Step 3: Cross multiply
    134.85x = 202.29 × 53.71
  4. Step 4: Simplify right side
    134.85x = 10,864.29
  5. Step 5: Solve for x
    x = 10,864.29/134.85
  6. Step 6: Final answer
    x = 80.56

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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.