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Finding the Fourth Proportional to 42.77, 59.04 and 28.22

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Solution

The fourth proportional to 42.77, 59.04 and 28.22 is: 38.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.77 : 59.04 = 28.22 : x
  2. Step 2: Convert to fraction form
    42.77/59.04 = 28.22/x
  3. Step 3: Cross multiply
    42.77x = 59.04 × 28.22
  4. Step 4: Simplify right side
    42.77x = 1,665.81
  5. Step 5: Solve for x
    x = 1,665.81/42.77
  6. Step 6: Final answer
    x = 38.95

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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.