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Finding the Fourth Proportional to 37.46, 56.16 and 16.07

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Solution

The fourth proportional to 37.46, 56.16 and 16.07 is: 24.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.46 : 56.16 = 16.07 : x
  2. Step 2: Convert to fraction form
    37.46/56.16 = 16.07/x
  3. Step 3: Cross multiply
    37.46x = 56.16 × 16.07
  4. Step 4: Simplify right side
    37.46x = 902.49
  5. Step 5: Solve for x
    x = 902.49/37.46
  6. Step 6: Final answer
    x = 24.09

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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.