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Finding the Fourth Proportional to 146.74, 202.68 and 120.58

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Solution

The fourth proportional to 146.74, 202.68 and 120.58 is: 166.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.74 : 202.68 = 120.58 : x
  2. Step 2: Convert to fraction form
    146.74/202.68 = 120.58/x
  3. Step 3: Cross multiply
    146.74x = 202.68 × 120.58
  4. Step 4: Simplify right side
    146.74x = 24,439.15
  5. Step 5: Solve for x
    x = 24,439.15/146.74
  6. Step 6: Final answer
    x = 166.55

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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.