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Finding the Fourth Proportional to 22.97, 31.68 and 19.94

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Solution

The fourth proportional to 22.97, 31.68 and 19.94 is: 27.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.97 : 31.68 = 19.94 : x
  2. Step 2: Convert to fraction form
    22.97/31.68 = 19.94/x
  3. Step 3: Cross multiply
    22.97x = 31.68 × 19.94
  4. Step 4: Simplify right side
    22.97x = 631.70
  5. Step 5: Solve for x
    x = 631.70/22.97
  6. Step 6: Final answer
    x = 27.50

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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.