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Finding the Fourth Proportional to 58.54, 80.26 and 57.52

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Solution

The fourth proportional to 58.54, 80.26 and 57.52 is: 78.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.54 : 80.26 = 57.52 : x
  2. Step 2: Convert to fraction form
    58.54/80.26 = 57.52/x
  3. Step 3: Cross multiply
    58.54x = 80.26 × 57.52
  4. Step 4: Simplify right side
    58.54x = 4,616.21
  5. Step 5: Solve for x
    x = 4,616.21/58.54
  6. Step 6: Final answer
    x = 78.86

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.