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Finding the Fourth Proportional to 128.16, 191.45 and 89.33

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Solution

The fourth proportional to 128.16, 191.45 and 89.33 is: 133.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.16 : 191.45 = 89.33 : x
  2. Step 2: Convert to fraction form
    128.16/191.45 = 89.33/x
  3. Step 3: Cross multiply
    128.16x = 191.45 × 89.33
  4. Step 4: Simplify right side
    128.16x = 17,100.82
  5. Step 5: Solve for x
    x = 17,100.82/128.16
  6. Step 6: Final answer
    x = 133.43

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.