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Finding the Fourth Proportional to 15.85, 23.63 and 13.42

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Solution

The fourth proportional to 15.85, 23.63 and 13.42 is: 20.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.85 : 23.63 = 13.42 : x
  2. Step 2: Convert to fraction form
    15.85/23.63 = 13.42/x
  3. Step 3: Cross multiply
    15.85x = 23.63 × 13.42
  4. Step 4: Simplify right side
    15.85x = 316.94
  5. Step 5: Solve for x
    x = 316.94/15.85
  6. Step 6: Final answer
    x = 20.00

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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.