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Finding the Fourth Proportional to 35.38, 53.07 and 13.71

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Solution

The fourth proportional to 35.38, 53.07 and 13.71 is: 20.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.38 : 53.07 = 13.71 : x
  2. Step 2: Convert to fraction form
    35.38/53.07 = 13.71/x
  3. Step 3: Cross multiply
    35.38x = 53.07 × 13.71
  4. Step 4: Simplify right side
    35.38x = 727.59
  5. Step 5: Solve for x
    x = 727.59/35.38
  6. Step 6: Final answer
    x = 20.57

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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.