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Finding the Fourth Proportional to 58.96, 80.84 and 57.28

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Solution

The fourth proportional to 58.96, 80.84 and 57.28 is: 78.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.96 : 80.84 = 57.28 : x
  2. Step 2: Convert to fraction form
    58.96/80.84 = 57.28/x
  3. Step 3: Cross multiply
    58.96x = 80.84 × 57.28
  4. Step 4: Simplify right side
    58.96x = 4,630.52
  5. Step 5: Solve for x
    x = 4,630.52/58.96
  6. Step 6: Final answer
    x = 78.54

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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.