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Finding the Fourth Proportional to 21.74, 32.47 and 18.50

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Solution

The fourth proportional to 21.74, 32.47 and 18.50 is: 27.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.74 : 32.47 = 18.50 : x
  2. Step 2: Convert to fraction form
    21.74/32.47 = 18.50/x
  3. Step 3: Cross multiply
    21.74x = 32.47 × 18.50
  4. Step 4: Simplify right side
    21.74x = 600.70
  5. Step 5: Solve for x
    x = 600.70/21.74
  6. Step 6: Final answer
    x = 27.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.