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Finding the Fourth Proportional to 146.85, 202.30 and 105.13

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Solution

The fourth proportional to 146.85, 202.30 and 105.13 is: 144.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.85 : 202.30 = 105.13 : x
  2. Step 2: Convert to fraction form
    146.85/202.30 = 105.13/x
  3. Step 3: Cross multiply
    146.85x = 202.30 × 105.13
  4. Step 4: Simplify right side
    146.85x = 21,267.79
  5. Step 5: Solve for x
    x = 21,267.79/146.85
  6. Step 6: Final answer
    x = 144.83

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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.