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Finding the Fourth Proportional to 107.44, 148.87 and 106.14

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Solution

The fourth proportional to 107.44, 148.87 and 106.14 is: 147.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.44 : 148.87 = 106.14 : x
  2. Step 2: Convert to fraction form
    107.44/148.87 = 106.14/x
  3. Step 3: Cross multiply
    107.44x = 148.87 × 106.14
  4. Step 4: Simplify right side
    107.44x = 15,801.06
  5. Step 5: Solve for x
    x = 15,801.06/107.44
  6. Step 6: Final answer
    x = 147.07

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.