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Finding the Fourth Proportional to 146.57, 202.33 and 111.61

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Solution

The fourth proportional to 146.57, 202.33 and 111.61 is: 154.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.57 : 202.33 = 111.61 : x
  2. Step 2: Convert to fraction form
    146.57/202.33 = 111.61/x
  3. Step 3: Cross multiply
    146.57x = 202.33 × 111.61
  4. Step 4: Simplify right side
    146.57x = 22,582.05
  5. Step 5: Solve for x
    x = 22,582.05/146.57
  6. Step 6: Final answer
    x = 154.07

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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.