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Finding the Fourth Proportional to 104.06, 143.62 and 75.02

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Solution

The fourth proportional to 104.06, 143.62 and 75.02 is: 103.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.06 : 143.62 = 75.02 : x
  2. Step 2: Convert to fraction form
    104.06/143.62 = 75.02/x
  3. Step 3: Cross multiply
    104.06x = 143.62 × 75.02
  4. Step 4: Simplify right side
    104.06x = 10,773.47
  5. Step 5: Solve for x
    x = 10,773.47/104.06
  6. Step 6: Final answer
    x = 103.53

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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.