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Finding the Fourth Proportional to 104.13, 142.65 and 102.96

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Solution

The fourth proportional to 104.13, 142.65 and 102.96 is: 141.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.13 : 142.65 = 102.96 : x
  2. Step 2: Convert to fraction form
    104.13/142.65 = 102.96/x
  3. Step 3: Cross multiply
    104.13x = 142.65 × 102.96
  4. Step 4: Simplify right side
    104.13x = 14,687.24
  5. Step 5: Solve for x
    x = 14,687.24/104.13
  6. Step 6: Final answer
    x = 141.05

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.