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Finding the Fourth Proportional to 57.74, 80.02 and 56.66

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Solution

The fourth proportional to 57.74, 80.02 and 56.66 is: 78.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.74 : 80.02 = 56.66 : x
  2. Step 2: Convert to fraction form
    57.74/80.02 = 56.66/x
  3. Step 3: Cross multiply
    57.74x = 80.02 × 56.66
  4. Step 4: Simplify right side
    57.74x = 4,533.25
  5. Step 5: Solve for x
    x = 4,533.25/57.74
  6. Step 6: Final answer
    x = 78.52

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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.