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Finding the Fourth Proportional to 138.40, 190.92 and 89.31

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Solution

The fourth proportional to 138.40, 190.92 and 89.31 is: 123.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.40 : 190.92 = 89.31 : x
  2. Step 2: Convert to fraction form
    138.40/190.92 = 89.31/x
  3. Step 3: Cross multiply
    138.40x = 190.92 × 89.31
  4. Step 4: Simplify right side
    138.40x = 17,051.07
  5. Step 5: Solve for x
    x = 17,051.07/138.40
  6. Step 6: Final answer
    x = 123.20

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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.