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Finding the Fourth Proportional to 52.14, 78.12 and 25.05

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Solution

The fourth proportional to 52.14, 78.12 and 25.05 is: 37.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.14 : 78.12 = 25.05 : x
  2. Step 2: Convert to fraction form
    52.14/78.12 = 25.05/x
  3. Step 3: Cross multiply
    52.14x = 78.12 × 25.05
  4. Step 4: Simplify right side
    52.14x = 1,956.91
  5. Step 5: Solve for x
    x = 1,956.91/52.14
  6. Step 6: Final answer
    x = 37.53

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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.