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Finding the Fourth Proportional to 138.97, 191.69 and 89.83

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Solution

The fourth proportional to 138.97, 191.69 and 89.83 is: 123.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.97 : 191.69 = 89.83 : x
  2. Step 2: Convert to fraction form
    138.97/191.69 = 89.83/x
  3. Step 3: Cross multiply
    138.97x = 191.69 × 89.83
  4. Step 4: Simplify right side
    138.97x = 17,219.51
  5. Step 5: Solve for x
    x = 17,219.51/138.97
  6. Step 6: Final answer
    x = 123.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.