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Finding the Fourth Proportional to 107.67, 161.58 and 42.66

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Solution

The fourth proportional to 107.67, 161.58 and 42.66 is: 64.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.67 : 161.58 = 42.66 : x
  2. Step 2: Convert to fraction form
    107.67/161.58 = 42.66/x
  3. Step 3: Cross multiply
    107.67x = 161.58 × 42.66
  4. Step 4: Simplify right side
    107.67x = 6,893.38
  5. Step 5: Solve for x
    x = 6,893.38/107.67
  6. Step 6: Final answer
    x = 64.02

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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.