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Finding the Fourth Proportional to 22.97, 31.72 and 16.54

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Solution

The fourth proportional to 22.97, 31.72 and 16.54 is: 22.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.97 : 31.72 = 16.54 : x
  2. Step 2: Convert to fraction form
    22.97/31.72 = 16.54/x
  3. Step 3: Cross multiply
    22.97x = 31.72 × 16.54
  4. Step 4: Simplify right side
    22.97x = 524.53
  5. Step 5: Solve for x
    x = 524.53/22.97
  6. Step 6: Final answer
    x = 22.83

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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.