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Finding the Fourth Proportional to 146.34, 201.96 and 121.77

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Solution

The fourth proportional to 146.34, 201.96 and 121.77 is: 168.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.34 : 201.96 = 121.77 : x
  2. Step 2: Convert to fraction form
    146.34/201.96 = 121.77/x
  3. Step 3: Cross multiply
    146.34x = 201.96 × 121.77
  4. Step 4: Simplify right side
    146.34x = 24,592.67
  5. Step 5: Solve for x
    x = 24,592.67/146.34
  6. Step 6: Final answer
    x = 168.05

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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.