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Finding the Fourth Proportional to 22.42, 30.93 and 14.64

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Solution

The fourth proportional to 22.42, 30.93 and 14.64 is: 20.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.42 : 30.93 = 14.64 : x
  2. Step 2: Convert to fraction form
    22.42/30.93 = 14.64/x
  3. Step 3: Cross multiply
    22.42x = 30.93 × 14.64
  4. Step 4: Simplify right side
    22.42x = 452.96
  5. Step 5: Solve for x
    x = 452.96/22.42
  6. Step 6: Final answer
    x = 20.20

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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.