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Finding the Fourth Proportional to 42.01, 58.05 and 33.34

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Solution

The fourth proportional to 42.01, 58.05 and 33.34 is: 46.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.01 : 58.05 = 33.34 : x
  2. Step 2: Convert to fraction form
    42.01/58.05 = 33.34/x
  3. Step 3: Cross multiply
    42.01x = 58.05 × 33.34
  4. Step 4: Simplify right side
    42.01x = 1,935.39
  5. Step 5: Solve for x
    x = 1,935.39/42.01
  6. Step 6: Final answer
    x = 46.07

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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.