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Finding the Fourth Proportional to 147.71, 203.84 and 82.22

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Solution

The fourth proportional to 147.71, 203.84 and 82.22 is: 113.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.71 : 203.84 = 82.22 : x
  2. Step 2: Convert to fraction form
    147.71/203.84 = 82.22/x
  3. Step 3: Cross multiply
    147.71x = 203.84 × 82.22
  4. Step 4: Simplify right side
    147.71x = 16,759.31
  5. Step 5: Solve for x
    x = 16,759.31/147.71
  6. Step 6: Final answer
    x = 113.46

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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.