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Finding the Fourth Proportional to 69.69, 96.17 and 40.59

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Solution

The fourth proportional to 69.69, 96.17 and 40.59 is: 56.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.69 : 96.17 = 40.59 : x
  2. Step 2: Convert to fraction form
    69.69/96.17 = 40.59/x
  3. Step 3: Cross multiply
    69.69x = 96.17 × 40.59
  4. Step 4: Simplify right side
    69.69x = 3,903.54
  5. Step 5: Solve for x
    x = 3,903.54/69.69
  6. Step 6: Final answer
    x = 56.01

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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.