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Finding the Fourth Proportional to 69.57, 96.01 and 40.45

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Solution

The fourth proportional to 69.57, 96.01 and 40.45 is: 55.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.57 : 96.01 = 40.45 : x
  2. Step 2: Convert to fraction form
    69.57/96.01 = 40.45/x
  3. Step 3: Cross multiply
    69.57x = 96.01 × 40.45
  4. Step 4: Simplify right side
    69.57x = 3,883.60
  5. Step 5: Solve for x
    x = 3,883.60/69.57
  6. Step 6: Final answer
    x = 55.82

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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.