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Finding the Fourth Proportional to 137.96, 207.36 and 90.20

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Solution

The fourth proportional to 137.96, 207.36 and 90.20 is: 135.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.96 : 207.36 = 90.20 : x
  2. Step 2: Convert to fraction form
    137.96/207.36 = 90.20/x
  3. Step 3: Cross multiply
    137.96x = 207.36 × 90.20
  4. Step 4: Simplify right side
    137.96x = 18,703.87
  5. Step 5: Solve for x
    x = 18,703.87/137.96
  6. Step 6: Final answer
    x = 135.57

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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.