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Finding the Fourth Proportional to 107.20, 147.86 and 77.28

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Solution

The fourth proportional to 107.20, 147.86 and 77.28 is: 106.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.20 : 147.86 = 77.28 : x
  2. Step 2: Convert to fraction form
    107.20/147.86 = 77.28/x
  3. Step 3: Cross multiply
    107.20x = 147.86 × 77.28
  4. Step 4: Simplify right side
    107.20x = 11,426.62
  5. Step 5: Solve for x
    x = 11,426.62/107.20
  6. Step 6: Final answer
    x = 106.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.