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Finding the Fourth Proportional to 58.26, 80.42 and 51.78

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Solution

The fourth proportional to 58.26, 80.42 and 51.78 is: 71.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.26 : 80.42 = 51.78 : x
  2. Step 2: Convert to fraction form
    58.26/80.42 = 51.78/x
  3. Step 3: Cross multiply
    58.26x = 80.42 × 51.78
  4. Step 4: Simplify right side
    58.26x = 4,164.15
  5. Step 5: Solve for x
    x = 4,164.15/58.26
  6. Step 6: Final answer
    x = 71.48

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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.