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Finding the Fourth Proportional to 69.98, 96.64 and 57.82

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Solution

The fourth proportional to 69.98, 96.64 and 57.82 is: 79.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.98 : 96.64 = 57.82 : x
  2. Step 2: Convert to fraction form
    69.98/96.64 = 57.82/x
  3. Step 3: Cross multiply
    69.98x = 96.64 × 57.82
  4. Step 4: Simplify right side
    69.98x = 5,587.72
  5. Step 5: Solve for x
    x = 5,587.72/69.98
  6. Step 6: Final answer
    x = 79.85

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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.