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Finding the Fourth Proportional to 146.52, 202.13 and 84.32

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Solution

The fourth proportional to 146.52, 202.13 and 84.32 is: 116.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.52 : 202.13 = 84.32 : x
  2. Step 2: Convert to fraction form
    146.52/202.13 = 84.32/x
  3. Step 3: Cross multiply
    146.52x = 202.13 × 84.32
  4. Step 4: Simplify right side
    146.52x = 17,042.68
  5. Step 5: Solve for x
    x = 17,042.68/146.52
  6. Step 6: Final answer
    x = 116.32

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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.