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Finding the Fourth Proportional to 49.59, 74.04 and 41.49

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Solution

The fourth proportional to 49.59, 74.04 and 41.49 is: 61.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.59 : 74.04 = 41.49 : x
  2. Step 2: Convert to fraction form
    49.59/74.04 = 41.49/x
  3. Step 3: Cross multiply
    49.59x = 74.04 × 41.49
  4. Step 4: Simplify right side
    49.59x = 3,071.92
  5. Step 5: Solve for x
    x = 3,071.92/49.59
  6. Step 6: Final answer
    x = 61.95

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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.