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Finding the Fourth Proportional to 37.91, 52.36 and 37.40

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Solution

The fourth proportional to 37.91, 52.36 and 37.40 is: 51.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.91 : 52.36 = 37.40 : x
  2. Step 2: Convert to fraction form
    37.91/52.36 = 37.40/x
  3. Step 3: Cross multiply
    37.91x = 52.36 × 37.40
  4. Step 4: Simplify right side
    37.91x = 1,958.21
  5. Step 5: Solve for x
    x = 1,958.21/37.91
  6. Step 6: Final answer
    x = 51.66

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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.