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Finding the Fourth Proportional to 14.97, 22.45 and 4.28

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Solution

The fourth proportional to 14.97, 22.45 and 4.28 is: 6.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.97 : 22.45 = 4.28 : x
  2. Step 2: Convert to fraction form
    14.97/22.45 = 4.28/x
  3. Step 3: Cross multiply
    14.97x = 22.45 × 4.28
  4. Step 4: Simplify right side
    14.97x = 96.15
  5. Step 5: Solve for x
    x = 96.15/14.97
  6. Step 6: Final answer
    x = 6.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.