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Finding the Fourth Proportional to 49.66, 74.42 and 31.58

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Solution

The fourth proportional to 49.66, 74.42 and 31.58 is: 47.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.66 : 74.42 = 31.58 : x
  2. Step 2: Convert to fraction form
    49.66/74.42 = 31.58/x
  3. Step 3: Cross multiply
    49.66x = 74.42 × 31.58
  4. Step 4: Simplify right side
    49.66x = 2,350.18
  5. Step 5: Solve for x
    x = 2,350.18/49.66
  6. Step 6: Final answer
    x = 47.33

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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.