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Finding the Fourth Proportional to 22.50, 30.96 and 19.77

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Solution

The fourth proportional to 22.50, 30.96 and 19.77 is: 27.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.50 : 30.96 = 19.77 : x
  2. Step 2: Convert to fraction form
    22.50/30.96 = 19.77/x
  3. Step 3: Cross multiply
    22.50x = 30.96 × 19.77
  4. Step 4: Simplify right side
    22.50x = 612.08
  5. Step 5: Solve for x
    x = 612.08/22.50
  6. Step 6: Final answer
    x = 27.20

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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.