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Finding the Fourth Proportional to 69.66, 96.32 and 59.47

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Solution

The fourth proportional to 69.66, 96.32 and 59.47 is: 82.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.66 : 96.32 = 59.47 : x
  2. Step 2: Convert to fraction form
    69.66/96.32 = 59.47/x
  3. Step 3: Cross multiply
    69.66x = 96.32 × 59.47
  4. Step 4: Simplify right side
    69.66x = 5,728.06
  5. Step 5: Solve for x
    x = 5,728.06/69.66
  6. Step 6: Final answer
    x = 82.23

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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.