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Finding the Fourth Proportional to 23.08, 31.86 and 15.81

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Solution

The fourth proportional to 23.08, 31.86 and 15.81 is: 21.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.08 : 31.86 = 15.81 : x
  2. Step 2: Convert to fraction form
    23.08/31.86 = 15.81/x
  3. Step 3: Cross multiply
    23.08x = 31.86 × 15.81
  4. Step 4: Simplify right side
    23.08x = 503.47
  5. Step 5: Solve for x
    x = 503.47/23.08
  6. Step 6: Final answer
    x = 21.81

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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.