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Finding the Fourth Proportional to 71.38, 107.06 and 22.63

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Solution

The fourth proportional to 71.38, 107.06 and 22.63 is: 33.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.38 : 107.06 = 22.63 : x
  2. Step 2: Convert to fraction form
    71.38/107.06 = 22.63/x
  3. Step 3: Cross multiply
    71.38x = 107.06 × 22.63
  4. Step 4: Simplify right side
    71.38x = 2,422.23
  5. Step 5: Solve for x
    x = 2,422.23/71.38
  6. Step 6: Final answer
    x = 33.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.