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Finding the Fourth Proportional to 17.97, 24.81 and 10.70

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Solution

The fourth proportional to 17.97, 24.81 and 10.70 is: 14.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.97 : 24.81 = 10.70 : x
  2. Step 2: Convert to fraction form
    17.97/24.81 = 10.70/x
  3. Step 3: Cross multiply
    17.97x = 24.81 × 10.70
  4. Step 4: Simplify right side
    17.97x = 265.34
  5. Step 5: Solve for x
    x = 265.34/17.97
  6. Step 6: Final answer
    x = 14.77

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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.