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Finding the Fourth Proportional to 49.74, 74.53 and 30.46

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Solution

The fourth proportional to 49.74, 74.53 and 30.46 is: 45.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.74 : 74.53 = 30.46 : x
  2. Step 2: Convert to fraction form
    49.74/74.53 = 30.46/x
  3. Step 3: Cross multiply
    49.74x = 74.53 × 30.46
  4. Step 4: Simplify right side
    49.74x = 2,270.18
  5. Step 5: Solve for x
    x = 2,270.18/49.74
  6. Step 6: Final answer
    x = 45.64

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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.