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Finding the Fourth Proportional to 52.42, 78.63 and 20.35

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Solution

The fourth proportional to 52.42, 78.63 and 20.35 is: 30.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.42 : 78.63 = 20.35 : x
  2. Step 2: Convert to fraction form
    52.42/78.63 = 20.35/x
  3. Step 3: Cross multiply
    52.42x = 78.63 × 20.35
  4. Step 4: Simplify right side
    52.42x = 1,600.12
  5. Step 5: Solve for x
    x = 1,600.12/52.42
  6. Step 6: Final answer
    x = 30.53

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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.