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Finding the Fourth Proportional to 137.25, 206.17 and 104.64

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Solution

The fourth proportional to 137.25, 206.17 and 104.64 is: 157.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.25 : 206.17 = 104.64 : x
  2. Step 2: Convert to fraction form
    137.25/206.17 = 104.64/x
  3. Step 3: Cross multiply
    137.25x = 206.17 × 104.64
  4. Step 4: Simplify right side
    137.25x = 21,574.05
  5. Step 5: Solve for x
    x = 21,574.05/137.25
  6. Step 6: Final answer
    x = 157.18

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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.