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Finding the Fourth Proportional to 27.01, 40.45 and 16.84

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Solution

The fourth proportional to 27.01, 40.45 and 16.84 is: 25.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.01 : 40.45 = 16.84 : x
  2. Step 2: Convert to fraction form
    27.01/40.45 = 16.84/x
  3. Step 3: Cross multiply
    27.01x = 40.45 × 16.84
  4. Step 4: Simplify right side
    27.01x = 681.18
  5. Step 5: Solve for x
    x = 681.18/27.01
  6. Step 6: Final answer
    x = 25.22

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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.