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Finding the Fourth Proportional to 14.08, 19.43 and 9.16

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Solution

The fourth proportional to 14.08, 19.43 and 9.16 is: 12.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.08 : 19.43 = 9.16 : x
  2. Step 2: Convert to fraction form
    14.08/19.43 = 9.16/x
  3. Step 3: Cross multiply
    14.08x = 19.43 × 9.16
  4. Step 4: Simplify right side
    14.08x = 177.98
  5. Step 5: Solve for x
    x = 177.98/14.08
  6. Step 6: Final answer
    x = 12.64

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Why These Related Problems?

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