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Finding the Fourth Proportional to 148.24, 204.48 and 92.96

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Solution

The fourth proportional to 148.24, 204.48 and 92.96 is: 128.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.24 : 204.48 = 92.96 : x
  2. Step 2: Convert to fraction form
    148.24/204.48 = 92.96/x
  3. Step 3: Cross multiply
    148.24x = 204.48 × 92.96
  4. Step 4: Simplify right side
    148.24x = 19,008.46
  5. Step 5: Solve for x
    x = 19,008.46/148.24
  6. Step 6: Final answer
    x = 128.23

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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.