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Finding the Fourth Proportional to 128.29, 191.98 and 119.71

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Solution

The fourth proportional to 128.29, 191.98 and 119.71 is: 179.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.29 : 191.98 = 119.71 : x
  2. Step 2: Convert to fraction form
    128.29/191.98 = 119.71/x
  3. Step 3: Cross multiply
    128.29x = 191.98 × 119.71
  4. Step 4: Simplify right side
    128.29x = 22,980.37
  5. Step 5: Solve for x
    x = 22,980.37/128.29
  6. Step 6: Final answer
    x = 179.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.