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Finding the Fourth Proportional to 27.42, 41.10 and 16.01

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Solution

The fourth proportional to 27.42, 41.10 and 16.01 is: 24.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.42 : 41.10 = 16.01 : x
  2. Step 2: Convert to fraction form
    27.42/41.10 = 16.01/x
  3. Step 3: Cross multiply
    27.42x = 41.10 × 16.01
  4. Step 4: Simplify right side
    27.42x = 658.05
  5. Step 5: Solve for x
    x = 658.05/27.42
  6. Step 6: Final answer
    x = 24.00

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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.