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Finding the Fourth Proportional to 107.76, 161.66 and 39.30

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Solution

The fourth proportional to 107.76, 161.66 and 39.30 is: 58.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.76 : 161.66 = 39.30 : x
  2. Step 2: Convert to fraction form
    107.76/161.66 = 39.30/x
  3. Step 3: Cross multiply
    107.76x = 161.66 × 39.30
  4. Step 4: Simplify right side
    107.76x = 6,353.24
  5. Step 5: Solve for x
    x = 6,353.24/107.76
  6. Step 6: Final answer
    x = 58.96

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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.