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Finding the Fourth Proportional to 58.69, 80.83 and 42.29

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Solution

The fourth proportional to 58.69, 80.83 and 42.29 is: 58.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.69 : 80.83 = 42.29 : x
  2. Step 2: Convert to fraction form
    58.69/80.83 = 42.29/x
  3. Step 3: Cross multiply
    58.69x = 80.83 × 42.29
  4. Step 4: Simplify right side
    58.69x = 3,418.25
  5. Step 5: Solve for x
    x = 3,418.25/58.69
  6. Step 6: Final answer
    x = 58.24

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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.