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Finding the Fourth Proportional to 107.08, 147.46 and 101.96

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Solution

The fourth proportional to 107.08, 147.46 and 101.96 is: 140.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.08 : 147.46 = 101.96 : x
  2. Step 2: Convert to fraction form
    107.08/147.46 = 101.96/x
  3. Step 3: Cross multiply
    107.08x = 147.46 × 101.96
  4. Step 4: Simplify right side
    107.08x = 15,035.02
  5. Step 5: Solve for x
    x = 15,035.02/107.08
  6. Step 6: Final answer
    x = 140.41

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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.