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Finding the Fourth Proportional to 107.68, 148.26 and 103.36

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Solution

The fourth proportional to 107.68, 148.26 and 103.36 is: 142.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.68 : 148.26 = 103.36 : x
  2. Step 2: Convert to fraction form
    107.68/148.26 = 103.36/x
  3. Step 3: Cross multiply
    107.68x = 148.26 × 103.36
  4. Step 4: Simplify right side
    107.68x = 15,324.15
  5. Step 5: Solve for x
    x = 15,324.15/107.68
  6. Step 6: Final answer
    x = 142.31

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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.