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Finding the Fourth Proportional to 147.81, 203.85 and 120.09

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Solution

The fourth proportional to 147.81, 203.85 and 120.09 is: 165.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.81 : 203.85 = 120.09 : x
  2. Step 2: Convert to fraction form
    147.81/203.85 = 120.09/x
  3. Step 3: Cross multiply
    147.81x = 203.85 × 120.09
  4. Step 4: Simplify right side
    147.81x = 24,480.35
  5. Step 5: Solve for x
    x = 24,480.35/147.81
  6. Step 6: Final answer
    x = 165.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.