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Finding the Fourth Proportional to 14.06, 21.06 and 11.40

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Solution

The fourth proportional to 14.06, 21.06 and 11.40 is: 17.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.06 : 21.06 = 11.40 : x
  2. Step 2: Convert to fraction form
    14.06/21.06 = 11.40/x
  3. Step 3: Cross multiply
    14.06x = 21.06 × 11.40
  4. Step 4: Simplify right side
    14.06x = 240.08
  5. Step 5: Solve for x
    x = 240.08/14.06
  6. Step 6: Final answer
    x = 17.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.