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Finding the Fourth Proportional to 128.04, 191.64 and 82.27

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Solution

The fourth proportional to 128.04, 191.64 and 82.27 is: 123.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.04 : 191.64 = 82.27 : x
  2. Step 2: Convert to fraction form
    128.04/191.64 = 82.27/x
  3. Step 3: Cross multiply
    128.04x = 191.64 × 82.27
  4. Step 4: Simplify right side
    128.04x = 15,766.22
  5. Step 5: Solve for x
    x = 15,766.22/128.04
  6. Step 6: Final answer
    x = 123.14

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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.