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Finding the Fourth Proportional to 104.60, 143.98 and 103.38

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Solution

The fourth proportional to 104.60, 143.98 and 103.38 is: 142.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.60 : 143.98 = 103.38 : x
  2. Step 2: Convert to fraction form
    104.60/143.98 = 103.38/x
  3. Step 3: Cross multiply
    104.60x = 143.98 × 103.38
  4. Step 4: Simplify right side
    104.60x = 14,884.65
  5. Step 5: Solve for x
    x = 14,884.65/104.60
  6. Step 6: Final answer
    x = 142.30

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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.