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Finding the Fourth Proportional to 15.85, 23.74 and 13.15

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Solution

The fourth proportional to 15.85, 23.74 and 13.15 is: 19.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.85 : 23.74 = 13.15 : x
  2. Step 2: Convert to fraction form
    15.85/23.74 = 13.15/x
  3. Step 3: Cross multiply
    15.85x = 23.74 × 13.15
  4. Step 4: Simplify right side
    15.85x = 312.12
  5. Step 5: Solve for x
    x = 312.12/15.85
  6. Step 6: Final answer
    x = 19.69

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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.