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Finding the Fourth Proportional to 137.72, 206.57 and 110.84

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Solution

The fourth proportional to 137.72, 206.57 and 110.84 is: 166.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.72 : 206.57 = 110.84 : x
  2. Step 2: Convert to fraction form
    137.72/206.57 = 110.84/x
  3. Step 3: Cross multiply
    137.72x = 206.57 × 110.84
  4. Step 4: Simplify right side
    137.72x = 22,894.84
  5. Step 5: Solve for x
    x = 22,894.84/137.72
  6. Step 6: Final answer
    x = 166.25

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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.