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Finding the Fourth Proportional to 42.12, 58.17 and 39.05

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Solution

The fourth proportional to 42.12, 58.17 and 39.05 is: 53.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.12 : 58.17 = 39.05 : x
  2. Step 2: Convert to fraction form
    42.12/58.17 = 39.05/x
  3. Step 3: Cross multiply
    42.12x = 58.17 × 39.05
  4. Step 4: Simplify right side
    42.12x = 2,271.54
  5. Step 5: Solve for x
    x = 2,271.54/42.12
  6. Step 6: Final answer
    x = 53.93

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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.