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Finding the Fourth Proportional to 14.67, 22.14 and 14.00

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Solution

The fourth proportional to 14.67, 22.14 and 14.00 is: 21.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.67 : 22.14 = 14.00 : x
  2. Step 2: Convert to fraction form
    14.67/22.14 = 14.00/x
  3. Step 3: Cross multiply
    14.67x = 22.14 × 14.00
  4. Step 4: Simplify right side
    14.67x = 309.85
  5. Step 5: Solve for x
    x = 309.85/14.67
  6. Step 6: Final answer
    x = 21.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.