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Finding the Fourth Proportional to 37.42, 51.60 and 31.96

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Solution

The fourth proportional to 37.42, 51.60 and 31.96 is: 44.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.42 : 51.60 = 31.96 : x
  2. Step 2: Convert to fraction form
    37.42/51.60 = 31.96/x
  3. Step 3: Cross multiply
    37.42x = 51.60 × 31.96
  4. Step 4: Simplify right side
    37.42x = 1,649.14
  5. Step 5: Solve for x
    x = 1,649.14/37.42
  6. Step 6: Final answer
    x = 44.07

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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.