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Finding the Fourth Proportional to 146.46, 202.10 and 84.29

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Solution

The fourth proportional to 146.46, 202.10 and 84.29 is: 116.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.46 : 202.10 = 84.29 : x
  2. Step 2: Convert to fraction form
    146.46/202.10 = 84.29/x
  3. Step 3: Cross multiply
    146.46x = 202.10 × 84.29
  4. Step 4: Simplify right side
    146.46x = 17,034.71
  5. Step 5: Solve for x
    x = 17,034.71/146.46
  6. Step 6: Final answer
    x = 116.31

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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.