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Finding the Fourth Proportional to 15.80, 21.80 and 9.66

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Solution

The fourth proportional to 15.80, 21.80 and 9.66 is: 13.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.80 : 21.80 = 9.66 : x
  2. Step 2: Convert to fraction form
    15.80/21.80 = 9.66/x
  3. Step 3: Cross multiply
    15.80x = 21.80 × 9.66
  4. Step 4: Simplify right side
    15.80x = 210.52
  5. Step 5: Solve for x
    x = 210.52/15.80
  6. Step 6: Final answer
    x = 13.33

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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.