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Finding the Fourth Proportional to 15.93, 23.80 and 13.04

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Solution

The fourth proportional to 15.93, 23.80 and 13.04 is: 19.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.93 : 23.80 = 13.04 : x
  2. Step 2: Convert to fraction form
    15.93/23.80 = 13.04/x
  3. Step 3: Cross multiply
    15.93x = 23.80 × 13.04
  4. Step 4: Simplify right side
    15.93x = 310.35
  5. Step 5: Solve for x
    x = 310.35/15.93
  6. Step 6: Final answer
    x = 19.48

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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.