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Finding the Fourth Proportional to 58.65, 80.22 and 57.71

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Solution

The fourth proportional to 58.65, 80.22 and 57.71 is: 78.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.65 : 80.22 = 57.71 : x
  2. Step 2: Convert to fraction form
    58.65/80.22 = 57.71/x
  3. Step 3: Cross multiply
    58.65x = 80.22 × 57.71
  4. Step 4: Simplify right side
    58.65x = 4,629.61
  5. Step 5: Solve for x
    x = 4,629.61/58.65
  6. Step 6: Final answer
    x = 78.93

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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.