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Finding the Fourth Proportional to 51.50, 71.04 and 39.22

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Solution

The fourth proportional to 51.50, 71.04 and 39.22 is: 54.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.50 : 71.04 = 39.22 : x
  2. Step 2: Convert to fraction form
    51.50/71.04 = 39.22/x
  3. Step 3: Cross multiply
    51.50x = 71.04 × 39.22
  4. Step 4: Simplify right side
    51.50x = 2,786.19
  5. Step 5: Solve for x
    x = 2,786.19/51.50
  6. Step 6: Final answer
    x = 54.10

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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.