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Finding the Fourth Proportional to 58.75, 80.53 and 57.71

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Solution

The fourth proportional to 58.75, 80.53 and 57.71 is: 79.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.75 : 80.53 = 57.71 : x
  2. Step 2: Convert to fraction form
    58.75/80.53 = 57.71/x
  3. Step 3: Cross multiply
    58.75x = 80.53 × 57.71
  4. Step 4: Simplify right side
    58.75x = 4,647.44
  5. Step 5: Solve for x
    x = 4,647.44/58.75
  6. Step 6: Final answer
    x = 79.11

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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.