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Finding the Fourth Proportional to 37.60, 51.76 and 31.12

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Solution

The fourth proportional to 37.60, 51.76 and 31.12 is: 42.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.60 : 51.76 = 31.12 : x
  2. Step 2: Convert to fraction form
    37.60/51.76 = 31.12/x
  3. Step 3: Cross multiply
    37.60x = 51.76 × 31.12
  4. Step 4: Simplify right side
    37.60x = 1,610.77
  5. Step 5: Solve for x
    x = 1,610.77/37.60
  6. Step 6: Final answer
    x = 42.84

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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.