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Finding the Fourth Proportional to 137.08, 205.27 and 90.66

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Solution

The fourth proportional to 137.08, 205.27 and 90.66 is: 135.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.08 : 205.27 = 90.66 : x
  2. Step 2: Convert to fraction form
    137.08/205.27 = 90.66/x
  3. Step 3: Cross multiply
    137.08x = 205.27 × 90.66
  4. Step 4: Simplify right side
    137.08x = 18,610.51
  5. Step 5: Solve for x
    x = 18,610.51/137.08
  6. Step 6: Final answer
    x = 135.76

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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.