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Finding the Fourth Proportional to 42.69, 58.83 and 39.42

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Solution

The fourth proportional to 42.69, 58.83 and 39.42 is: 54.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.69 : 58.83 = 39.42 : x
  2. Step 2: Convert to fraction form
    42.69/58.83 = 39.42/x
  3. Step 3: Cross multiply
    42.69x = 58.83 × 39.42
  4. Step 4: Simplify right side
    42.69x = 2,319.08
  5. Step 5: Solve for x
    x = 2,319.08/42.69
  6. Step 6: Final answer
    x = 54.32

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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.