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Finding the Fourth Proportional to 51.50, 71.08 and 33.10

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Solution

The fourth proportional to 51.50, 71.08 and 33.10 is: 45.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.50 : 71.08 = 33.10 : x
  2. Step 2: Convert to fraction form
    51.50/71.08 = 33.10/x
  3. Step 3: Cross multiply
    51.50x = 71.08 × 33.10
  4. Step 4: Simplify right side
    51.50x = 2,352.49
  5. Step 5: Solve for x
    x = 2,352.49/51.50
  6. Step 6: Final answer
    x = 45.68

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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.