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Finding the Fourth Proportional to 69.71, 96.71 and 69.10

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Solution

The fourth proportional to 69.71, 96.71 and 69.10 is: 95.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.71 : 96.71 = 69.10 : x
  2. Step 2: Convert to fraction form
    69.71/96.71 = 69.10/x
  3. Step 3: Cross multiply
    69.71x = 96.71 × 69.10
  4. Step 4: Simplify right side
    69.71x = 6,682.07
  5. Step 5: Solve for x
    x = 6,682.07/69.71
  6. Step 6: Final answer
    x = 95.86

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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.