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Finding the Fourth Proportional to 58.87, 80.67 and 58.78

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Solution

The fourth proportional to 58.87, 80.67 and 58.78 is: 80.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.87 : 80.67 = 58.78 : x
  2. Step 2: Convert to fraction form
    58.87/80.67 = 58.78/x
  3. Step 3: Cross multiply
    58.87x = 80.67 × 58.78
  4. Step 4: Simplify right side
    58.87x = 4,741.78
  5. Step 5: Solve for x
    x = 4,741.78/58.87
  6. Step 6: Final answer
    x = 80.55

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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.