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Finding the Fourth Proportional to 74.69, 102.82 and 58.26

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Solution

The fourth proportional to 74.69, 102.82 and 58.26 is: 80.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.69 : 102.82 = 58.26 : x
  2. Step 2: Convert to fraction form
    74.69/102.82 = 58.26/x
  3. Step 3: Cross multiply
    74.69x = 102.82 × 58.26
  4. Step 4: Simplify right side
    74.69x = 5,990.29
  5. Step 5: Solve for x
    x = 5,990.29/74.69
  6. Step 6: Final answer
    x = 80.20

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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.