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Finding the Fourth Proportional to 48.69, 67.29 and 42.09

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Solution

The fourth proportional to 48.69, 67.29 and 42.09 is: 58.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.69 : 67.29 = 42.09 : x
  2. Step 2: Convert to fraction form
    48.69/67.29 = 42.09/x
  3. Step 3: Cross multiply
    48.69x = 67.29 × 42.09
  4. Step 4: Simplify right side
    48.69x = 2,832.13
  5. Step 5: Solve for x
    x = 2,832.13/48.69
  6. Step 6: Final answer
    x = 58.16

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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.