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Finding the Fourth Proportional to 147.75, 203.85 and 92.54

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Solution

The fourth proportional to 147.75, 203.85 and 92.54 is: 127.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.75 : 203.85 = 92.54 : x
  2. Step 2: Convert to fraction form
    147.75/203.85 = 92.54/x
  3. Step 3: Cross multiply
    147.75x = 203.85 × 92.54
  4. Step 4: Simplify right side
    147.75x = 18,864.79
  5. Step 5: Solve for x
    x = 18,864.79/147.75
  6. Step 6: Final answer
    x = 127.68

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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.