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Finding the Fourth Proportional to 69.56, 96 and 40.46

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Solution

The fourth proportional to 69.56, 96 and 40.46 is: 55.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.56 : 96 = 40.46 : x
  2. Step 2: Convert to fraction form
    69.56/96 = 40.46/x
  3. Step 3: Cross multiply
    69.56x = 96 × 40.46
  4. Step 4: Simplify right side
    69.56x = 3,884.40
  5. Step 5: Solve for x
    x = 3,884.40/69.56
  6. Step 6: Final answer
    x = 55.84

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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.