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Finding the Fourth Proportional to 17.80, 24.57 and 13.70

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Solution

The fourth proportional to 17.80, 24.57 and 13.70 is: 18.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.80 : 24.57 = 13.70 : x
  2. Step 2: Convert to fraction form
    17.80/24.57 = 13.70/x
  3. Step 3: Cross multiply
    17.80x = 24.57 × 13.70
  4. Step 4: Simplify right side
    17.80x = 336.49
  5. Step 5: Solve for x
    x = 336.49/17.80
  6. Step 6: Final answer
    x = 18.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.