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Finding the Fourth Proportional to 50.95, 75.97 and 45.82

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Solution

The fourth proportional to 50.95, 75.97 and 45.82 is: 68.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.95 : 75.97 = 45.82 : x
  2. Step 2: Convert to fraction form
    50.95/75.97 = 45.82/x
  3. Step 3: Cross multiply
    50.95x = 75.97 × 45.82
  4. Step 4: Simplify right side
    50.95x = 3,480.95
  5. Step 5: Solve for x
    x = 3,480.95/50.95
  6. Step 6: Final answer
    x = 68.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.