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Finding the Fourth Proportional to 73.60, 101.44 and 69.44

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Solution

The fourth proportional to 73.60, 101.44 and 69.44 is: 95.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.60 : 101.44 = 69.44 : x
  2. Step 2: Convert to fraction form
    73.60/101.44 = 69.44/x
  3. Step 3: Cross multiply
    73.60x = 101.44 × 69.44
  4. Step 4: Simplify right side
    73.60x = 7,043.99
  5. Step 5: Solve for x
    x = 7,043.99/73.60
  6. Step 6: Final answer
    x = 95.71

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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.