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Finding the Fourth Proportional to 31.26, 43.14 and 22.53

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Solution

The fourth proportional to 31.26, 43.14 and 22.53 is: 31.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.26 : 43.14 = 22.53 : x
  2. Step 2: Convert to fraction form
    31.26/43.14 = 22.53/x
  3. Step 3: Cross multiply
    31.26x = 43.14 × 22.53
  4. Step 4: Simplify right side
    31.26x = 971.94
  5. Step 5: Solve for x
    x = 971.94/31.26
  6. Step 6: Final answer
    x = 31.09

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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.