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Finding the Fourth Proportional to 49.19, 73.64 and 37.82

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Solution

The fourth proportional to 49.19, 73.64 and 37.82 is: 56.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.19 : 73.64 = 37.82 : x
  2. Step 2: Convert to fraction form
    49.19/73.64 = 37.82/x
  3. Step 3: Cross multiply
    49.19x = 73.64 × 37.82
  4. Step 4: Simplify right side
    49.19x = 2,785.06
  5. Step 5: Solve for x
    x = 2,785.06/49.19
  6. Step 6: Final answer
    x = 56.62

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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.