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Finding the Fourth Proportional to 148.48, 204.92 and 92.48

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Solution

The fourth proportional to 148.48, 204.92 and 92.48 is: 127.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.48 : 204.92 = 92.48 : x
  2. Step 2: Convert to fraction form
    148.48/204.92 = 92.48/x
  3. Step 3: Cross multiply
    148.48x = 204.92 × 92.48
  4. Step 4: Simplify right side
    148.48x = 18,951.00
  5. Step 5: Solve for x
    x = 18,951.00/148.48
  6. Step 6: Final answer
    x = 127.63

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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.