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Finding the Fourth Proportional to 13.71, 20.57 and 7.70

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Solution

The fourth proportional to 13.71, 20.57 and 7.70 is: 11.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.71 : 20.57 = 7.70 : x
  2. Step 2: Convert to fraction form
    13.71/20.57 = 7.70/x
  3. Step 3: Cross multiply
    13.71x = 20.57 × 7.70
  4. Step 4: Simplify right side
    13.71x = 158.39
  5. Step 5: Solve for x
    x = 158.39/13.71
  6. Step 6: Final answer
    x = 11.55

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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.