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Finding the Fourth Proportional to 138.40, 207.44 and 90.22

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Solution

The fourth proportional to 138.40, 207.44 and 90.22 is: 135.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.40 : 207.44 = 90.22 : x
  2. Step 2: Convert to fraction form
    138.40/207.44 = 90.22/x
  3. Step 3: Cross multiply
    138.40x = 207.44 × 90.22
  4. Step 4: Simplify right side
    138.40x = 18,715.24
  5. Step 5: Solve for x
    x = 18,715.24/138.40
  6. Step 6: Final answer
    x = 135.23

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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.