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Finding the Fourth Proportional to 58.50, 80.20 and 57.47

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Solution

The fourth proportional to 58.50, 80.20 and 57.47 is: 78.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.50 : 80.20 = 57.47 : x
  2. Step 2: Convert to fraction form
    58.50/80.20 = 57.47/x
  3. Step 3: Cross multiply
    58.50x = 80.20 × 57.47
  4. Step 4: Simplify right side
    58.50x = 4,609.15
  5. Step 5: Solve for x
    x = 4,609.15/58.50
  6. Step 6: Final answer
    x = 78.79

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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.