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Finding the Fourth Proportional to 107.34, 161.05 and 49.59

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Solution

The fourth proportional to 107.34, 161.05 and 49.59 is: 74.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.34 : 161.05 = 49.59 : x
  2. Step 2: Convert to fraction form
    107.34/161.05 = 49.59/x
  3. Step 3: Cross multiply
    107.34x = 161.05 × 49.59
  4. Step 4: Simplify right side
    107.34x = 7,986.47
  5. Step 5: Solve for x
    x = 7,986.47/107.34
  6. Step 6: Final answer
    x = 74.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.