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Finding the Fourth Proportional to 52.14, 78.21 and 30.75

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Solution

The fourth proportional to 52.14, 78.21 and 30.75 is: 46.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.14 : 78.21 = 30.75 : x
  2. Step 2: Convert to fraction form
    52.14/78.21 = 30.75/x
  3. Step 3: Cross multiply
    52.14x = 78.21 × 30.75
  4. Step 4: Simplify right side
    52.14x = 2,404.96
  5. Step 5: Solve for x
    x = 2,404.96/52.14
  6. Step 6: Final answer
    x = 46.13

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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.