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Finding the Fourth Proportional to 45.95, 69.01 and 34.50

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Solution

The fourth proportional to 45.95, 69.01 and 34.50 is: 51.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.95 : 69.01 = 34.50 : x
  2. Step 2: Convert to fraction form
    45.95/69.01 = 34.50/x
  3. Step 3: Cross multiply
    45.95x = 69.01 × 34.50
  4. Step 4: Simplify right side
    45.95x = 2,380.85
  5. Step 5: Solve for x
    x = 2,380.85/45.95
  6. Step 6: Final answer
    x = 51.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.