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Finding the Fourth Proportional to 14.00, 19.35 and 12.29

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Solution

The fourth proportional to 14.00, 19.35 and 12.29 is: 16.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.00 : 19.35 = 12.29 : x
  2. Step 2: Convert to fraction form
    14.00/19.35 = 12.29/x
  3. Step 3: Cross multiply
    14.00x = 19.35 × 12.29
  4. Step 4: Simplify right side
    14.00x = 237.68
  5. Step 5: Solve for x
    x = 237.68/14.00
  6. Step 6: Final answer
    x = 16.98

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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.