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Finding the Fourth Proportional to 51.38, 77.06 and 32.17

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Solution

The fourth proportional to 51.38, 77.06 and 32.17 is: 48.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.38 : 77.06 = 32.17 : x
  2. Step 2: Convert to fraction form
    51.38/77.06 = 32.17/x
  3. Step 3: Cross multiply
    51.38x = 77.06 × 32.17
  4. Step 4: Simplify right side
    51.38x = 2,479.20
  5. Step 5: Solve for x
    x = 2,479.20/51.38
  6. Step 6: Final answer
    x = 48.26

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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.