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Finding the Fourth Proportional to 37.70, 52.06 and 31.14

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Solution

The fourth proportional to 37.70, 52.06 and 31.14 is: 43.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.70 : 52.06 = 31.14 : x
  2. Step 2: Convert to fraction form
    37.70/52.06 = 31.14/x
  3. Step 3: Cross multiply
    37.70x = 52.06 × 31.14
  4. Step 4: Simplify right side
    37.70x = 1,621.15
  5. Step 5: Solve for x
    x = 1,621.15/37.70
  6. Step 6: Final answer
    x = 43.00

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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.