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Finding the Fourth Proportional to 128.33, 191.72 and 89.49

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Solution

The fourth proportional to 128.33, 191.72 and 89.49 is: 133.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.33 : 191.72 = 89.49 : x
  2. Step 2: Convert to fraction form
    128.33/191.72 = 89.49/x
  3. Step 3: Cross multiply
    128.33x = 191.72 × 89.49
  4. Step 4: Simplify right side
    128.33x = 17,156.38
  5. Step 5: Solve for x
    x = 17,156.38/128.33
  6. Step 6: Final answer
    x = 133.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.