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Finding the Fourth Proportional to 135.90, 204.03 and 120.78

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Solution

The fourth proportional to 135.90, 204.03 and 120.78 is: 181.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.90 : 204.03 = 120.78 : x
  2. Step 2: Convert to fraction form
    135.90/204.03 = 120.78/x
  3. Step 3: Cross multiply
    135.90x = 204.03 × 120.78
  4. Step 4: Simplify right side
    135.90x = 24,642.74
  5. Step 5: Solve for x
    x = 24,642.74/135.90
  6. Step 6: Final answer
    x = 181.33

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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.