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Finding the Fourth Proportional to 51.88, 71.60 and 28.57

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Solution

The fourth proportional to 51.88, 71.60 and 28.57 is: 39.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.88 : 71.60 = 28.57 : x
  2. Step 2: Convert to fraction form
    51.88/71.60 = 28.57/x
  3. Step 3: Cross multiply
    51.88x = 71.60 × 28.57
  4. Step 4: Simplify right side
    51.88x = 2,045.62
  5. Step 5: Solve for x
    x = 2,045.62/51.88
  6. Step 6: Final answer
    x = 39.43

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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.