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Finding the Fourth Proportional to 22.96, 31.69 and 14.78

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Solution

The fourth proportional to 22.96, 31.69 and 14.78 is: 20.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.96 : 31.69 = 14.78 : x
  2. Step 2: Convert to fraction form
    22.96/31.69 = 14.78/x
  3. Step 3: Cross multiply
    22.96x = 31.69 × 14.78
  4. Step 4: Simplify right side
    22.96x = 468.38
  5. Step 5: Solve for x
    x = 468.38/22.96
  6. Step 6: Final answer
    x = 20.40

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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.