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Finding the Fourth Proportional to 49.59, 74.76 and 41.67

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Solution

The fourth proportional to 49.59, 74.76 and 41.67 is: 62.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.59 : 74.76 = 41.67 : x
  2. Step 2: Convert to fraction form
    49.59/74.76 = 41.67/x
  3. Step 3: Cross multiply
    49.59x = 74.76 × 41.67
  4. Step 4: Simplify right side
    49.59x = 3,115.25
  5. Step 5: Solve for x
    x = 3,115.25/49.59
  6. Step 6: Final answer
    x = 62.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.