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Finding the Fourth Proportional to 137.90, 207.08 and 115.26

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Solution

The fourth proportional to 137.90, 207.08 and 115.26 is: 173.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.90 : 207.08 = 115.26 : x
  2. Step 2: Convert to fraction form
    137.90/207.08 = 115.26/x
  3. Step 3: Cross multiply
    137.90x = 207.08 × 115.26
  4. Step 4: Simplify right side
    137.90x = 23,867.46
  5. Step 5: Solve for x
    x = 23,867.46/137.90
  6. Step 6: Final answer
    x = 173.08

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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.