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Finding the Fourth Proportional to 27.26, 40.84 and 23.84

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Solution

The fourth proportional to 27.26, 40.84 and 23.84 is: 35.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.26 : 40.84 = 23.84 : x
  2. Step 2: Convert to fraction form
    27.26/40.84 = 23.84/x
  3. Step 3: Cross multiply
    27.26x = 40.84 × 23.84
  4. Step 4: Simplify right side
    27.26x = 973.63
  5. Step 5: Solve for x
    x = 973.63/27.26
  6. Step 6: Final answer
    x = 35.72

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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.