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Finding the Fourth Proportional to 147.78, 203.94 and 82.29

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Solution

The fourth proportional to 147.78, 203.94 and 82.29 is: 113.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.78 : 203.94 = 82.29 : x
  2. Step 2: Convert to fraction form
    147.78/203.94 = 82.29/x
  3. Step 3: Cross multiply
    147.78x = 203.94 × 82.29
  4. Step 4: Simplify right side
    147.78x = 16,781.51
  5. Step 5: Solve for x
    x = 16,781.51/147.78
  6. Step 6: Final answer
    x = 113.56

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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.