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Finding the Fourth Proportional to 10.50, 14.46 and 8.20

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Solution

The fourth proportional to 10.50, 14.46 and 8.20 is: 11.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.50 : 14.46 = 8.20 : x
  2. Step 2: Convert to fraction form
    10.50/14.46 = 8.20/x
  3. Step 3: Cross multiply
    10.50x = 14.46 × 8.20
  4. Step 4: Simplify right side
    10.50x = 118.61
  5. Step 5: Solve for x
    x = 118.61/10.50
  6. Step 6: Final answer
    x = 11.30

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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.