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Finding the Fourth Proportional to 52.14, 77.84 and 44.42

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Solution

The fourth proportional to 52.14, 77.84 and 44.42 is: 66.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.14 : 77.84 = 44.42 : x
  2. Step 2: Convert to fraction form
    52.14/77.84 = 44.42/x
  3. Step 3: Cross multiply
    52.14x = 77.84 × 44.42
  4. Step 4: Simplify right side
    52.14x = 3,457.65
  5. Step 5: Solve for x
    x = 3,457.65/52.14
  6. Step 6: Final answer
    x = 66.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.