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Finding the Fourth Proportional to 23.41, 32.30 and 14.66

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Solution

The fourth proportional to 23.41, 32.30 and 14.66 is: 20.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.41 : 32.30 = 14.66 : x
  2. Step 2: Convert to fraction form
    23.41/32.30 = 14.66/x
  3. Step 3: Cross multiply
    23.41x = 32.30 × 14.66
  4. Step 4: Simplify right side
    23.41x = 473.53
  5. Step 5: Solve for x
    x = 473.53/23.41
  6. Step 6: Final answer
    x = 20.23

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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.