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Finding the Fourth Proportional to 15.97, 22 and 13.54

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Solution

The fourth proportional to 15.97, 22 and 13.54 is: 18.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.97 : 22 = 13.54 : x
  2. Step 2: Convert to fraction form
    15.97/22 = 13.54/x
  3. Step 3: Cross multiply
    15.97x = 22 × 13.54
  4. Step 4: Simplify right side
    15.97x = 297.88
  5. Step 5: Solve for x
    x = 297.88/15.97
  6. Step 6: Final answer
    x = 18.65

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1.5x scale

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.