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Finding the Fourth Proportional to 128.92, 178.24 and 97.79

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Solution

The fourth proportional to 128.92, 178.24 and 97.79 is: 135.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.92 : 178.24 = 97.79 : x
  2. Step 2: Convert to fraction form
    128.92/178.24 = 97.79/x
  3. Step 3: Cross multiply
    128.92x = 178.24 × 97.79
  4. Step 4: Simplify right side
    128.92x = 17,430.25
  5. Step 5: Solve for x
    x = 17,430.25/128.92
  6. Step 6: Final answer
    x = 135.20

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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.