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Finding the Fourth Proportional to 14.70, 22.06 and 7.94

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Solution

The fourth proportional to 14.70, 22.06 and 7.94 is: 11.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.70 : 22.06 = 7.94 : x
  2. Step 2: Convert to fraction form
    14.70/22.06 = 7.94/x
  3. Step 3: Cross multiply
    14.70x = 22.06 × 7.94
  4. Step 4: Simplify right side
    14.70x = 175.16
  5. Step 5: Solve for x
    x = 175.16/14.70
  6. Step 6: Final answer
    x = 11.92

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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.