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Finding the Fourth Proportional to 37.24, 51.40 and 22.70

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Solution

The fourth proportional to 37.24, 51.40 and 22.70 is: 31.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.24 : 51.40 = 22.70 : x
  2. Step 2: Convert to fraction form
    37.24/51.40 = 22.70/x
  3. Step 3: Cross multiply
    37.24x = 51.40 × 22.70
  4. Step 4: Simplify right side
    37.24x = 1,166.47
  5. Step 5: Solve for x
    x = 1,166.47/37.24
  6. Step 6: Final answer
    x = 31.32

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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.