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Finding the Fourth Proportional to 137.40, 206.09 and 110.22

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Solution

The fourth proportional to 137.40, 206.09 and 110.22 is: 165.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.40 : 206.09 = 110.22 : x
  2. Step 2: Convert to fraction form
    137.40/206.09 = 110.22/x
  3. Step 3: Cross multiply
    137.40x = 206.09 × 110.22
  4. Step 4: Simplify right side
    137.40x = 22,715.24
  5. Step 5: Solve for x
    x = 22,715.24/137.40
  6. Step 6: Final answer
    x = 165.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.