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Finding the Fourth Proportional to 52.10, 78.10 and 33.84

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Solution

The fourth proportional to 52.10, 78.10 and 33.84 is: 50.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.10 : 78.10 = 33.84 : x
  2. Step 2: Convert to fraction form
    52.10/78.10 = 33.84/x
  3. Step 3: Cross multiply
    52.10x = 78.10 × 33.84
  4. Step 4: Simplify right side
    52.10x = 2,643.01
  5. Step 5: Solve for x
    x = 2,643.01/52.10
  6. Step 6: Final answer
    x = 50.73

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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.