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Finding the Fourth Proportional to 21.59, 29.75 and 20.19

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Solution

The fourth proportional to 21.59, 29.75 and 20.19 is: 27.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.59 : 29.75 = 20.19 : x
  2. Step 2: Convert to fraction form
    21.59/29.75 = 20.19/x
  3. Step 3: Cross multiply
    21.59x = 29.75 × 20.19
  4. Step 4: Simplify right side
    21.59x = 600.55
  5. Step 5: Solve for x
    x = 600.55/21.59
  6. Step 6: Final answer
    x = 27.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.