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Finding the Fourth Proportional to 138.34, 190.89 and 89.21

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Solution

The fourth proportional to 138.34, 190.89 and 89.21 is: 123.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.34 : 190.89 = 89.21 : x
  2. Step 2: Convert to fraction form
    138.34/190.89 = 89.21/x
  3. Step 3: Cross multiply
    138.34x = 190.89 × 89.21
  4. Step 4: Simplify right side
    138.34x = 17,029.24
  5. Step 5: Solve for x
    x = 17,029.24/138.34
  6. Step 6: Final answer
    x = 123.10

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Why These Related Problems?

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