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Finding the Fourth Proportional to 59.72, 82.26 and 56.96

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Solution

The fourth proportional to 59.72, 82.26 and 56.96 is: 78.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.72 : 82.26 = 56.96 : x
  2. Step 2: Convert to fraction form
    59.72/82.26 = 56.96/x
  3. Step 3: Cross multiply
    59.72x = 82.26 × 56.96
  4. Step 4: Simplify right side
    59.72x = 4,685.53
  5. Step 5: Solve for x
    x = 4,685.53/59.72
  6. Step 6: Final answer
    x = 78.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.