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Finding the Fourth Proportional to 14.29, 19.72 and 12.10

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Solution

The fourth proportional to 14.29, 19.72 and 12.10 is: 16.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.29 : 19.72 = 12.10 : x
  2. Step 2: Convert to fraction form
    14.29/19.72 = 12.10/x
  3. Step 3: Cross multiply
    14.29x = 19.72 × 12.10
  4. Step 4: Simplify right side
    14.29x = 238.55
  5. Step 5: Solve for x
    x = 238.55/14.29
  6. Step 6: Final answer
    x = 16.69

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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.