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Finding the Fourth Proportional to 51.62, 77.43 and 17.38

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Solution

The fourth proportional to 51.62, 77.43 and 17.38 is: 26.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.62 : 77.43 = 17.38 : x
  2. Step 2: Convert to fraction form
    51.62/77.43 = 17.38/x
  3. Step 3: Cross multiply
    51.62x = 77.43 × 17.38
  4. Step 4: Simplify right side
    51.62x = 1,345.30
  5. Step 5: Solve for x
    x = 1,345.30/51.62
  6. Step 6: Final answer
    x = 26.06

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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.