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Finding the Fourth Proportional to 58.50, 80.69 and 37.75

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Solution

The fourth proportional to 58.50, 80.69 and 37.75 is: 52.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.50 : 80.69 = 37.75 : x
  2. Step 2: Convert to fraction form
    58.50/80.69 = 37.75/x
  3. Step 3: Cross multiply
    58.50x = 80.69 × 37.75
  4. Step 4: Simplify right side
    58.50x = 3,046.05
  5. Step 5: Solve for x
    x = 3,046.05/58.50
  6. Step 6: Final answer
    x = 52.07

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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.