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Finding the Fourth Proportional to 37.22, 51.32 and 31.14

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Solution

The fourth proportional to 37.22, 51.32 and 31.14 is: 42.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.22 : 51.32 = 31.14 : x
  2. Step 2: Convert to fraction form
    37.22/51.32 = 31.14/x
  3. Step 3: Cross multiply
    37.22x = 51.32 × 31.14
  4. Step 4: Simplify right side
    37.22x = 1,597.95
  5. Step 5: Solve for x
    x = 1,597.95/37.22
  6. Step 6: Final answer
    x = 42.94

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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.