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Finding the Fourth Proportional to 57.69, 79.64 and 38.05

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Solution

The fourth proportional to 57.69, 79.64 and 38.05 is: 52.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.69 : 79.64 = 38.05 : x
  2. Step 2: Convert to fraction form
    57.69/79.64 = 38.05/x
  3. Step 3: Cross multiply
    57.69x = 79.64 × 38.05
  4. Step 4: Simplify right side
    57.69x = 3,030.20
  5. Step 5: Solve for x
    x = 3,030.20/57.69
  6. Step 6: Final answer
    x = 52.53

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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.