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Finding the Fourth Proportional to 51.88, 71.29 and 43.24

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Solution

The fourth proportional to 51.88, 71.29 and 43.24 is: 59.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.88 : 71.29 = 43.24 : x
  2. Step 2: Convert to fraction form
    51.88/71.29 = 43.24/x
  3. Step 3: Cross multiply
    51.88x = 71.29 × 43.24
  4. Step 4: Simplify right side
    51.88x = 3,082.58
  5. Step 5: Solve for x
    x = 3,082.58/51.88
  6. Step 6: Final answer
    x = 59.42

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.