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Finding the Fourth Proportional to 107.46, 148.21 and 68.09

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Solution

The fourth proportional to 107.46, 148.21 and 68.09 is: 93.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.46 : 148.21 = 68.09 : x
  2. Step 2: Convert to fraction form
    107.46/148.21 = 68.09/x
  3. Step 3: Cross multiply
    107.46x = 148.21 × 68.09
  4. Step 4: Simplify right side
    107.46x = 10,090.71
  5. Step 5: Solve for x
    x = 10,090.71/107.46
  6. Step 6: Final answer
    x = 93.90

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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.