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Finding the Fourth Proportional to 49.45, 73.95 and 30.14

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Solution

The fourth proportional to 49.45, 73.95 and 30.14 is: 45.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.45 : 73.95 = 30.14 : x
  2. Step 2: Convert to fraction form
    49.45/73.95 = 30.14/x
  3. Step 3: Cross multiply
    49.45x = 73.95 × 30.14
  4. Step 4: Simplify right side
    49.45x = 2,228.85
  5. Step 5: Solve for x
    x = 2,228.85/49.45
  6. Step 6: Final answer
    x = 45.08

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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.