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Finding the Fourth Proportional to 52.13, 78.20 and 20.06

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Solution

The fourth proportional to 52.13, 78.20 and 20.06 is: 30.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.13 : 78.20 = 20.06 : x
  2. Step 2: Convert to fraction form
    52.13/78.20 = 20.06/x
  3. Step 3: Cross multiply
    52.13x = 78.20 × 20.06
  4. Step 4: Simplify right side
    52.13x = 1,568.86
  5. Step 5: Solve for x
    x = 1,568.86/52.13
  6. Step 6: Final answer
    x = 30.10

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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.