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Finding the Fourth Proportional to 22.71, 31.33 and 13.01

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Solution

The fourth proportional to 22.71, 31.33 and 13.01 is: 17.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.71 : 31.33 = 13.01 : x
  2. Step 2: Convert to fraction form
    22.71/31.33 = 13.01/x
  3. Step 3: Cross multiply
    22.71x = 31.33 × 13.01
  4. Step 4: Simplify right side
    22.71x = 407.60
  5. Step 5: Solve for x
    x = 407.60/22.71
  6. Step 6: Final answer
    x = 17.95

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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.