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Finding the Fourth Proportional to 128.18, 191.81 and 84.10

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Solution

The fourth proportional to 128.18, 191.81 and 84.10 is: 125.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.18 : 191.81 = 84.10 : x
  2. Step 2: Convert to fraction form
    128.18/191.81 = 84.10/x
  3. Step 3: Cross multiply
    128.18x = 191.81 × 84.10
  4. Step 4: Simplify right side
    128.18x = 16,130.80
  5. Step 5: Solve for x
    x = 16,130.80/128.18
  6. Step 6: Final answer
    x = 125.85

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