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Finding the Fourth Proportional to 49.18, 73.64 and 47.74

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Solution

The fourth proportional to 49.18, 73.64 and 47.74 is: 71.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.18 : 73.64 = 47.74 : x
  2. Step 2: Convert to fraction form
    49.18/73.64 = 47.74/x
  3. Step 3: Cross multiply
    49.18x = 73.64 × 47.74
  4. Step 4: Simplify right side
    49.18x = 3,515.57
  5. Step 5: Solve for x
    x = 3,515.57/49.18
  6. Step 6: Final answer
    x = 71.48

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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.