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Finding the Fourth Proportional to 57.05, 78.66 and 43.19

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Solution

The fourth proportional to 57.05, 78.66 and 43.19 is: 59.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.05 : 78.66 = 43.19 : x
  2. Step 2: Convert to fraction form
    57.05/78.66 = 43.19/x
  3. Step 3: Cross multiply
    57.05x = 78.66 × 43.19
  4. Step 4: Simplify right side
    57.05x = 3,396.93
  5. Step 5: Solve for x
    x = 3,396.93/57.05
  6. Step 6: Final answer
    x = 59.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.