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Finding the Fourth Proportional to 37.29, 51.47 and 31.46

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Solution

The fourth proportional to 37.29, 51.47 and 31.46 is: 43.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.29 : 51.47 = 31.46 : x
  2. Step 2: Convert to fraction form
    37.29/51.47 = 31.46/x
  3. Step 3: Cross multiply
    37.29x = 51.47 × 31.46
  4. Step 4: Simplify right side
    37.29x = 1,619.25
  5. Step 5: Solve for x
    x = 1,619.25/37.29
  6. Step 6: Final answer
    x = 43.42

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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.