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Finding the Fourth Proportional to 15.98, 24 and 13.46

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Solution

The fourth proportional to 15.98, 24 and 13.46 is: 20.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.98 : 24 = 13.46 : x
  2. Step 2: Convert to fraction form
    15.98/24 = 13.46/x
  3. Step 3: Cross multiply
    15.98x = 24 × 13.46
  4. Step 4: Simplify right side
    15.98x = 323.04
  5. Step 5: Solve for x
    x = 323.04/15.98
  6. Step 6: Final answer
    x = 20.22

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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.