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Finding the Fourth Proportional to 58.11, 79.76 and 57.43

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Solution

The fourth proportional to 58.11, 79.76 and 57.43 is: 78.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.11 : 79.76 = 57.43 : x
  2. Step 2: Convert to fraction form
    58.11/79.76 = 57.43/x
  3. Step 3: Cross multiply
    58.11x = 79.76 × 57.43
  4. Step 4: Simplify right side
    58.11x = 4,580.62
  5. Step 5: Solve for x
    x = 4,580.62/58.11
  6. Step 6: Final answer
    x = 78.83

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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.