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Finding the Fourth Proportional to 69.55, 96.02 and 69.24

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Solution

The fourth proportional to 69.55, 96.02 and 69.24 is: 95.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.55 : 96.02 = 69.24 : x
  2. Step 2: Convert to fraction form
    69.55/96.02 = 69.24/x
  3. Step 3: Cross multiply
    69.55x = 96.02 × 69.24
  4. Step 4: Simplify right side
    69.55x = 6,648.42
  5. Step 5: Solve for x
    x = 6,648.42/69.55
  6. Step 6: Final answer
    x = 95.59

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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.