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Finding the Fourth Proportional to 69.96, 96.16 and 56.83

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Solution

The fourth proportional to 69.96, 96.16 and 56.83 is: 78.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.96 : 96.16 = 56.83 : x
  2. Step 2: Convert to fraction form
    69.96/96.16 = 56.83/x
  3. Step 3: Cross multiply
    69.96x = 96.16 × 56.83
  4. Step 4: Simplify right side
    69.96x = 5,464.77
  5. Step 5: Solve for x
    x = 5,464.77/69.96
  6. Step 6: Final answer
    x = 78.11

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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.