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Finding the Fourth Proportional to 15.71, 23.40 and 15.41

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Solution

The fourth proportional to 15.71, 23.40 and 15.41 is: 22.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.71 : 23.40 = 15.41 : x
  2. Step 2: Convert to fraction form
    15.71/23.40 = 15.41/x
  3. Step 3: Cross multiply
    15.71x = 23.40 × 15.41
  4. Step 4: Simplify right side
    15.71x = 360.59
  5. Step 5: Solve for x
    x = 360.59/15.71
  6. Step 6: Final answer
    x = 22.95

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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.