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Finding the Fourth Proportional to 22.23, 30.59 and 21.64

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Solution

The fourth proportional to 22.23, 30.59 and 21.64 is: 29.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.23 : 30.59 = 21.64 : x
  2. Step 2: Convert to fraction form
    22.23/30.59 = 21.64/x
  3. Step 3: Cross multiply
    22.23x = 30.59 × 21.64
  4. Step 4: Simplify right side
    22.23x = 661.87
  5. Step 5: Solve for x
    x = 661.87/22.23
  6. Step 6: Final answer
    x = 29.77

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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.