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Finding the Fourth Proportional to 146.96, 202.80 and 80.57

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Solution

The fourth proportional to 146.96, 202.80 and 80.57 is: 111.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.96 : 202.80 = 80.57 : x
  2. Step 2: Convert to fraction form
    146.96/202.80 = 80.57/x
  3. Step 3: Cross multiply
    146.96x = 202.80 × 80.57
  4. Step 4: Simplify right side
    146.96x = 16,339.60
  5. Step 5: Solve for x
    x = 16,339.60/146.96
  6. Step 6: Final answer
    x = 111.18

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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.