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Finding the Fourth Proportional to 15.96, 23.80 and 14.61

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Solution

The fourth proportional to 15.96, 23.80 and 14.61 is: 21.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.96 : 23.80 = 14.61 : x
  2. Step 2: Convert to fraction form
    15.96/23.80 = 14.61/x
  3. Step 3: Cross multiply
    15.96x = 23.80 × 14.61
  4. Step 4: Simplify right side
    15.96x = 347.72
  5. Step 5: Solve for x
    x = 347.72/15.96
  6. Step 6: Final answer
    x = 21.79

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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.