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Finding the Fourth Proportional to 57.69, 79.56 and 40.22

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Solution

The fourth proportional to 57.69, 79.56 and 40.22 is: 55.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.69 : 79.56 = 40.22 : x
  2. Step 2: Convert to fraction form
    57.69/79.56 = 40.22/x
  3. Step 3: Cross multiply
    57.69x = 79.56 × 40.22
  4. Step 4: Simplify right side
    57.69x = 3,199.51
  5. Step 5: Solve for x
    x = 3,199.51/57.69
  6. Step 6: Final answer
    x = 55.46

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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.