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Finding the Fourth Proportional to 128.27, 176.73 and 97.08

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Solution

The fourth proportional to 128.27, 176.73 and 97.08 is: 133.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.27 : 176.73 = 97.08 : x
  2. Step 2: Convert to fraction form
    128.27/176.73 = 97.08/x
  3. Step 3: Cross multiply
    128.27x = 176.73 × 97.08
  4. Step 4: Simplify right side
    128.27x = 17,156.95
  5. Step 5: Solve for x
    x = 17,156.95/128.27
  6. Step 6: Final answer
    x = 133.76

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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.