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Finding the Fourth Proportional to 42.94, 59.28 and 33.22

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Solution

The fourth proportional to 42.94, 59.28 and 33.22 is: 45.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.94 : 59.28 = 33.22 : x
  2. Step 2: Convert to fraction form
    42.94/59.28 = 33.22/x
  3. Step 3: Cross multiply
    42.94x = 59.28 × 33.22
  4. Step 4: Simplify right side
    42.94x = 1,969.28
  5. Step 5: Solve for x
    x = 1,969.28/42.94
  6. Step 6: Final answer
    x = 45.86

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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.