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Finding the Fourth Proportional to 15.48, 23.13 and 13.21

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Solution

The fourth proportional to 15.48, 23.13 and 13.21 is: 19.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.48 : 23.13 = 13.21 : x
  2. Step 2: Convert to fraction form
    15.48/23.13 = 13.21/x
  3. Step 3: Cross multiply
    15.48x = 23.13 × 13.21
  4. Step 4: Simplify right side
    15.48x = 305.49
  5. Step 5: Solve for x
    x = 305.49/15.48
  6. Step 6: Final answer
    x = 19.73

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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.