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Finding the Fourth Proportional to 14.30, 19.69 and 11.06

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Solution

The fourth proportional to 14.30, 19.69 and 11.06 is: 15.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.30 : 19.69 = 11.06 : x
  2. Step 2: Convert to fraction form
    14.30/19.69 = 11.06/x
  3. Step 3: Cross multiply
    14.30x = 19.69 × 11.06
  4. Step 4: Simplify right side
    14.30x = 217.77
  5. Step 5: Solve for x
    x = 217.77/14.30
  6. Step 6: Final answer
    x = 15.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.