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Finding the Fourth Proportional to 49.66, 74.54 and 30.45

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Solution

The fourth proportional to 49.66, 74.54 and 30.45 is: 45.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.66 : 74.54 = 30.45 : x
  2. Step 2: Convert to fraction form
    49.66/74.54 = 30.45/x
  3. Step 3: Cross multiply
    49.66x = 74.54 × 30.45
  4. Step 4: Simplify right side
    49.66x = 2,269.74
  5. Step 5: Solve for x
    x = 2,269.74/49.66
  6. Step 6: Final answer
    x = 45.71

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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.