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Finding the Fourth Proportional to 14.31, 19.64 and 14.16

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Solution

The fourth proportional to 14.31, 19.64 and 14.16 is: 19.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.31 : 19.64 = 14.16 : x
  2. Step 2: Convert to fraction form
    14.31/19.64 = 14.16/x
  3. Step 3: Cross multiply
    14.31x = 19.64 × 14.16
  4. Step 4: Simplify right side
    14.31x = 278.03
  5. Step 5: Solve for x
    x = 278.03/14.31
  6. Step 6: Final answer
    x = 19.43

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.