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Finding the Fourth Proportional to 128.09, 176.64 and 97.01

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Solution

The fourth proportional to 128.09, 176.64 and 97.01 is: 133.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.09 : 176.64 = 97.01 : x
  2. Step 2: Convert to fraction form
    128.09/176.64 = 97.01/x
  3. Step 3: Cross multiply
    128.09x = 176.64 × 97.01
  4. Step 4: Simplify right side
    128.09x = 17,135.85
  5. Step 5: Solve for x
    x = 17,135.85/128.09
  6. Step 6: Final answer
    x = 133.78

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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.