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Finding the Fourth Proportional to 75.64, 104.41 and 49.42

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Solution

The fourth proportional to 75.64, 104.41 and 49.42 is: 68.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.64 : 104.41 = 49.42 : x
  2. Step 2: Convert to fraction form
    75.64/104.41 = 49.42/x
  3. Step 3: Cross multiply
    75.64x = 104.41 × 49.42
  4. Step 4: Simplify right side
    75.64x = 5,159.94
  5. Step 5: Solve for x
    x = 5,159.94/75.64
  6. Step 6: Final answer
    x = 68.22

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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.