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Finding the Fourth Proportional to 107.20, 147.72 and 105.76

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Solution

The fourth proportional to 107.20, 147.72 and 105.76 is: 145.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.20 : 147.72 = 105.76 : x
  2. Step 2: Convert to fraction form
    107.20/147.72 = 105.76/x
  3. Step 3: Cross multiply
    107.20x = 147.72 × 105.76
  4. Step 4: Simplify right side
    107.20x = 15,622.87
  5. Step 5: Solve for x
    x = 15,622.87/107.20
  6. Step 6: Final answer
    x = 145.74

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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.