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Finding the Fourth Proportional to 76.82, 105.96 and 56.08

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Solution

The fourth proportional to 76.82, 105.96 and 56.08 is: 77.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.82 : 105.96 = 56.08 : x
  2. Step 2: Convert to fraction form
    76.82/105.96 = 56.08/x
  3. Step 3: Cross multiply
    76.82x = 105.96 × 56.08
  4. Step 4: Simplify right side
    76.82x = 5,942.24
  5. Step 5: Solve for x
    x = 5,942.24/76.82
  6. Step 6: Final answer
    x = 77.35

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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.