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Finding the Fourth Proportional to 37.46, 51.70 and 22.91

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Solution

The fourth proportional to 37.46, 51.70 and 22.91 is: 31.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.46 : 51.70 = 22.91 : x
  2. Step 2: Convert to fraction form
    37.46/51.70 = 22.91/x
  3. Step 3: Cross multiply
    37.46x = 51.70 × 22.91
  4. Step 4: Simplify right side
    37.46x = 1,184.52
  5. Step 5: Solve for x
    x = 1,184.52/37.46
  6. Step 6: Final answer
    x = 31.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.