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Finding the Fourth Proportional to 22.95, 31.73 and 19.71

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Solution

The fourth proportional to 22.95, 31.73 and 19.71 is: 27.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.95 : 31.73 = 19.71 : x
  2. Step 2: Convert to fraction form
    22.95/31.73 = 19.71/x
  3. Step 3: Cross multiply
    22.95x = 31.73 × 19.71
  4. Step 4: Simplify right side
    22.95x = 625.30
  5. Step 5: Solve for x
    x = 625.30/22.95
  6. Step 6: Final answer
    x = 27.25

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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.