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Finding the Fourth Proportional to 107.22, 147.81 and 76.08

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Solution

The fourth proportional to 107.22, 147.81 and 76.08 is: 104.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.22 : 147.81 = 76.08 : x
  2. Step 2: Convert to fraction form
    107.22/147.81 = 76.08/x
  3. Step 3: Cross multiply
    107.22x = 147.81 × 76.08
  4. Step 4: Simplify right side
    107.22x = 11,245.38
  5. Step 5: Solve for x
    x = 11,245.38/107.22
  6. Step 6: Final answer
    x = 104.88

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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.