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Finding the Fourth Proportional to 147.74, 203.88 and 82.24

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Solution

The fourth proportional to 147.74, 203.88 and 82.24 is: 113.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.74 : 203.88 = 82.24 : x
  2. Step 2: Convert to fraction form
    147.74/203.88 = 82.24/x
  3. Step 3: Cross multiply
    147.74x = 203.88 × 82.24
  4. Step 4: Simplify right side
    147.74x = 16,767.09
  5. Step 5: Solve for x
    x = 16,767.09/147.74
  6. Step 6: Final answer
    x = 113.49

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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.