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Finding the Fourth Proportional to 74.46, 111.61 and 31.11

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Solution

The fourth proportional to 74.46, 111.61 and 31.11 is: 46.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.46 : 111.61 = 31.11 : x
  2. Step 2: Convert to fraction form
    74.46/111.61 = 31.11/x
  3. Step 3: Cross multiply
    74.46x = 111.61 × 31.11
  4. Step 4: Simplify right side
    74.46x = 3,472.53
  5. Step 5: Solve for x
    x = 3,472.53/74.46
  6. Step 6: Final answer
    x = 46.64

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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.