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Finding the Fourth Proportional to 37.42, 56.15 and 31.07

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Solution

The fourth proportional to 37.42, 56.15 and 31.07 is: 46.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.42 : 56.15 = 31.07 : x
  2. Step 2: Convert to fraction form
    37.42/56.15 = 31.07/x
  3. Step 3: Cross multiply
    37.42x = 56.15 × 31.07
  4. Step 4: Simplify right side
    37.42x = 1,744.58
  5. Step 5: Solve for x
    x = 1,744.58/37.42
  6. Step 6: Final answer
    x = 46.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.