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Finding the Fourth Proportional to 15.36, 22.97 and 13.19

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Solution

The fourth proportional to 15.36, 22.97 and 13.19 is: 19.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.36 : 22.97 = 13.19 : x
  2. Step 2: Convert to fraction form
    15.36/22.97 = 13.19/x
  3. Step 3: Cross multiply
    15.36x = 22.97 × 13.19
  4. Step 4: Simplify right side
    15.36x = 302.89
  5. Step 5: Solve for x
    x = 302.89/15.36
  6. Step 6: Final answer
    x = 19.72

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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.