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Finding the Fourth Proportional to 43.17, 64.79 and 34.66

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Solution

The fourth proportional to 43.17, 64.79 and 34.66 is: 52.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.17 : 64.79 = 34.66 : x
  2. Step 2: Convert to fraction form
    43.17/64.79 = 34.66/x
  3. Step 3: Cross multiply
    43.17x = 64.79 × 34.66
  4. Step 4: Simplify right side
    43.17x = 2,245.62
  5. Step 5: Solve for x
    x = 2,245.62/43.17
  6. Step 6: Final answer
    x = 52.02

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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.