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Finding the Fourth Proportional to 37.46, 56.09 and 24.64

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Solution

The fourth proportional to 37.46, 56.09 and 24.64 is: 36.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.46 : 56.09 = 24.64 : x
  2. Step 2: Convert to fraction form
    37.46/56.09 = 24.64/x
  3. Step 3: Cross multiply
    37.46x = 56.09 × 24.64
  4. Step 4: Simplify right side
    37.46x = 1,382.06
  5. Step 5: Solve for x
    x = 1,382.06/37.46
  6. Step 6: Final answer
    x = 36.89

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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.