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Finding the Fourth Proportional to 22.77, 34.00 and 20.50

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Solution

The fourth proportional to 22.77, 34.00 and 20.50 is: 30.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.77 : 34.00 = 20.50 : x
  2. Step 2: Convert to fraction form
    22.77/34.00 = 20.50/x
  3. Step 3: Cross multiply
    22.77x = 34.00 × 20.50
  4. Step 4: Simplify right side
    22.77x = 696.86
  5. Step 5: Solve for x
    x = 696.86/22.77
  6. Step 6: Final answer
    x = 30.60

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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.