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Finding the Fourth Proportional to 49.98, 75.40 and 49.47

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Solution

The fourth proportional to 49.98, 75.40 and 49.47 is: 74.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.98 : 75.40 = 49.47 : x
  2. Step 2: Convert to fraction form
    49.98/75.40 = 49.47/x
  3. Step 3: Cross multiply
    49.98x = 75.40 × 49.47
  4. Step 4: Simplify right side
    49.98x = 3,730.04
  5. Step 5: Solve for x
    x = 3,730.04/49.98
  6. Step 6: Final answer
    x = 74.63

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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.