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Finding the Fourth Proportional to 146.48, 202.15 and 84.31

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Solution

The fourth proportional to 146.48, 202.15 and 84.31 is: 116.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.48 : 202.15 = 84.31 : x
  2. Step 2: Convert to fraction form
    146.48/202.15 = 84.31/x
  3. Step 3: Cross multiply
    146.48x = 202.15 × 84.31
  4. Step 4: Simplify right side
    146.48x = 17,043.27
  5. Step 5: Solve for x
    x = 17,043.27/146.48
  6. Step 6: Final answer
    x = 116.35

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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.