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Finding the Fourth Proportional to 14.89, 22.34 and 12.90

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Solution

The fourth proportional to 14.89, 22.34 and 12.90 is: 19.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.89 : 22.34 = 12.90 : x
  2. Step 2: Convert to fraction form
    14.89/22.34 = 12.90/x
  3. Step 3: Cross multiply
    14.89x = 22.34 × 12.90
  4. Step 4: Simplify right side
    14.89x = 288.19
  5. Step 5: Solve for x
    x = 288.19/14.89
  6. Step 6: Final answer
    x = 19.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.