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Finding the Fourth Proportional to 146.96, 202.78 and 81.46

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Solution

The fourth proportional to 146.96, 202.78 and 81.46 is: 112.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.96 : 202.78 = 81.46 : x
  2. Step 2: Convert to fraction form
    146.96/202.78 = 81.46/x
  3. Step 3: Cross multiply
    146.96x = 202.78 × 81.46
  4. Step 4: Simplify right side
    146.96x = 16,518.46
  5. Step 5: Solve for x
    x = 16,518.46/146.96
  6. Step 6: Final answer
    x = 112.40

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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.