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Finding the Fourth Proportional to 14.57, 21.86 and 6.96

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Solution

The fourth proportional to 14.57, 21.86 and 6.96 is: 10.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.57 : 21.86 = 6.96 : x
  2. Step 2: Convert to fraction form
    14.57/21.86 = 6.96/x
  3. Step 3: Cross multiply
    14.57x = 21.86 × 6.96
  4. Step 4: Simplify right side
    14.57x = 152.11
  5. Step 5: Solve for x
    x = 152.11/14.57
  6. Step 6: Final answer
    x = 10.44

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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.