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Finding the Fourth Proportional to 17.52, 26.16 and 13.70

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Solution

The fourth proportional to 17.52, 26.16 and 13.70 is: 20.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.52 : 26.16 = 13.70 : x
  2. Step 2: Convert to fraction form
    17.52/26.16 = 13.70/x
  3. Step 3: Cross multiply
    17.52x = 26.16 × 13.70
  4. Step 4: Simplify right side
    17.52x = 358.19
  5. Step 5: Solve for x
    x = 358.19/17.52
  6. Step 6: Final answer
    x = 20.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.