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Finding the Fourth Proportional to 128.19, 191.80 and 82.65

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Solution

The fourth proportional to 128.19, 191.80 and 82.65 is: 123.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.19 : 191.80 = 82.65 : x
  2. Step 2: Convert to fraction form
    128.19/191.80 = 82.65/x
  3. Step 3: Cross multiply
    128.19x = 191.80 × 82.65
  4. Step 4: Simplify right side
    128.19x = 15,852.27
  5. Step 5: Solve for x
    x = 15,852.27/128.19
  6. Step 6: Final answer
    x = 123.66

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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.