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Finding the Fourth Proportional to 52.23, 78.34 and 16.16

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Solution

The fourth proportional to 52.23, 78.34 and 16.16 is: 24.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.23 : 78.34 = 16.16 : x
  2. Step 2: Convert to fraction form
    52.23/78.34 = 16.16/x
  3. Step 3: Cross multiply
    52.23x = 78.34 × 16.16
  4. Step 4: Simplify right side
    52.23x = 1,265.68
  5. Step 5: Solve for x
    x = 1,265.68/52.23
  6. Step 6: Final answer
    x = 24.23

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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.