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Finding the Fourth Proportional to 51.14, 76.72 and 37.57

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Solution

The fourth proportional to 51.14, 76.72 and 37.57 is: 56.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.14 : 76.72 = 37.57 : x
  2. Step 2: Convert to fraction form
    51.14/76.72 = 37.57/x
  3. Step 3: Cross multiply
    51.14x = 76.72 × 37.57
  4. Step 4: Simplify right side
    51.14x = 2,881.80
  5. Step 5: Solve for x
    x = 2,881.80/51.14
  6. Step 6: Final answer
    x = 56.36

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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.