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Finding the Fourth Proportional to 14.85, 22.28 and 7.14

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Solution

The fourth proportional to 14.85, 22.28 and 7.14 is: 10.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.85 : 22.28 = 7.14 : x
  2. Step 2: Convert to fraction form
    14.85/22.28 = 7.14/x
  3. Step 3: Cross multiply
    14.85x = 22.28 × 7.14
  4. Step 4: Simplify right side
    14.85x = 159.04
  5. Step 5: Solve for x
    x = 159.04/14.85
  6. Step 6: Final answer
    x = 10.71

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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.