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Finding the Fourth Proportional to 128.10, 191.86 and 89.44

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Solution

The fourth proportional to 128.10, 191.86 and 89.44 is: 133.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.10 : 191.86 = 89.44 : x
  2. Step 2: Convert to fraction form
    128.10/191.86 = 89.44/x
  3. Step 3: Cross multiply
    128.10x = 191.86 × 89.44
  4. Step 4: Simplify right side
    128.10x = 17,159.96
  5. Step 5: Solve for x
    x = 17,159.96/128.10
  6. Step 6: Final answer
    x = 133.96

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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.