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Finding the Fourth Proportional to 42.74, 59.06 and 33.64

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Solution

The fourth proportional to 42.74, 59.06 and 33.64 is: 46.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.74 : 59.06 = 33.64 : x
  2. Step 2: Convert to fraction form
    42.74/59.06 = 33.64/x
  3. Step 3: Cross multiply
    42.74x = 59.06 × 33.64
  4. Step 4: Simplify right side
    42.74x = 1,986.78
  5. Step 5: Solve for x
    x = 1,986.78/42.74
  6. Step 6: Final answer
    x = 46.49

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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.