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Finding the Fourth Proportional to 57.12, 79.38 and 56.46

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Solution

The fourth proportional to 57.12, 79.38 and 56.46 is: 78.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.12 : 79.38 = 56.46 : x
  2. Step 2: Convert to fraction form
    57.12/79.38 = 56.46/x
  3. Step 3: Cross multiply
    57.12x = 79.38 × 56.46
  4. Step 4: Simplify right side
    57.12x = 4,481.79
  5. Step 5: Solve for x
    x = 4,481.79/57.12
  6. Step 6: Final answer
    x = 78.46

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.