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Finding the Fourth Proportional to 104.13, 143.30 and 85.29

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Solution

The fourth proportional to 104.13, 143.30 and 85.29 is: 117.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.13 : 143.30 = 85.29 : x
  2. Step 2: Convert to fraction form
    104.13/143.30 = 85.29/x
  3. Step 3: Cross multiply
    104.13x = 143.30 × 85.29
  4. Step 4: Simplify right side
    104.13x = 12,221.63
  5. Step 5: Solve for x
    x = 12,221.63/104.13
  6. Step 6: Final answer
    x = 117.37

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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.