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Finding the Fourth Proportional to 104.22, 142.56 and 103.14

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Solution

The fourth proportional to 104.22, 142.56 and 103.14 is: 141.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.22 : 142.56 = 103.14 : x
  2. Step 2: Convert to fraction form
    104.22/142.56 = 103.14/x
  3. Step 3: Cross multiply
    104.22x = 142.56 × 103.14
  4. Step 4: Simplify right side
    104.22x = 14,703.64
  5. Step 5: Solve for x
    x = 14,703.64/104.22
  6. Step 6: Final answer
    x = 141.08

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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.