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Finding the Fourth Proportional to 14.66, 22.08 and 12.14

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Solution

The fourth proportional to 14.66, 22.08 and 12.14 is: 18.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.66 : 22.08 = 12.14 : x
  2. Step 2: Convert to fraction form
    14.66/22.08 = 12.14/x
  3. Step 3: Cross multiply
    14.66x = 22.08 × 12.14
  4. Step 4: Simplify right side
    14.66x = 268.19
  5. Step 5: Solve for x
    x = 268.19/14.66
  6. Step 6: Final answer
    x = 18.30

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