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Finding the Fourth Proportional to 36.42, 54.64 and 16.13

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Solution

The fourth proportional to 36.42, 54.64 and 16.13 is: 24.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.42 : 54.64 = 16.13 : x
  2. Step 2: Convert to fraction form
    36.42/54.64 = 16.13/x
  3. Step 3: Cross multiply
    36.42x = 54.64 × 16.13
  4. Step 4: Simplify right side
    36.42x = 881.50
  5. Step 5: Solve for x
    x = 881.50/36.42
  6. Step 6: Final answer
    x = 24.21

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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.