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Finding the Fourth Proportional to 23.80, 32.86 and 15.62

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Solution

The fourth proportional to 23.80, 32.86 and 15.62 is: 21.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.80 : 32.86 = 15.62 : x
  2. Step 2: Convert to fraction form
    23.80/32.86 = 15.62/x
  3. Step 3: Cross multiply
    23.80x = 32.86 × 15.62
  4. Step 4: Simplify right side
    23.80x = 513.07
  5. Step 5: Solve for x
    x = 513.07/23.80
  6. Step 6: Final answer
    x = 21.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.