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Finding the Fourth Proportional to 103.97, 143.48 and 60.31

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Solution

The fourth proportional to 103.97, 143.48 and 60.31 is: 83.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.97 : 143.48 = 60.31 : x
  2. Step 2: Convert to fraction form
    103.97/143.48 = 60.31/x
  3. Step 3: Cross multiply
    103.97x = 143.48 × 60.31
  4. Step 4: Simplify right side
    103.97x = 8,653.07
  5. Step 5: Solve for x
    x = 8,653.07/103.97
  6. Step 6: Final answer
    x = 83.22

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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.