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Finding the Fourth Proportional to 137.03, 205.20 and 90.56

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Solution

The fourth proportional to 137.03, 205.20 and 90.56 is: 135.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.03 : 205.20 = 90.56 : x
  2. Step 2: Convert to fraction form
    137.03/205.20 = 90.56/x
  3. Step 3: Cross multiply
    137.03x = 205.20 × 90.56
  4. Step 4: Simplify right side
    137.03x = 18,582.17
  5. Step 5: Solve for x
    x = 18,582.17/137.03
  6. Step 6: Final answer
    x = 135.61

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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.