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Finding the Fourth Proportional to 104.14, 143.73 and 98.52

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Solution

The fourth proportional to 104.14, 143.73 and 98.52 is: 135.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.14 : 143.73 = 98.52 : x
  2. Step 2: Convert to fraction form
    104.14/143.73 = 98.52/x
  3. Step 3: Cross multiply
    104.14x = 143.73 × 98.52
  4. Step 4: Simplify right side
    104.14x = 14,160.28
  5. Step 5: Solve for x
    x = 14,160.28/104.14
  6. Step 6: Final answer
    x = 135.97

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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.