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Finding the Fourth Proportional to 69.64, 95.28 and 69.35

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Solution

The fourth proportional to 69.64, 95.28 and 69.35 is: 94.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.64 : 95.28 = 69.35 : x
  2. Step 2: Convert to fraction form
    69.64/95.28 = 69.35/x
  3. Step 3: Cross multiply
    69.64x = 95.28 × 69.35
  4. Step 4: Simplify right side
    69.64x = 6,607.67
  5. Step 5: Solve for x
    x = 6,607.67/69.64
  6. Step 6: Final answer
    x = 94.88

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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.