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Finding the Fourth Proportional to 15.20, 22.72 and 11.60

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Solution

The fourth proportional to 15.20, 22.72 and 11.60 is: 17.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.20 : 22.72 = 11.60 : x
  2. Step 2: Convert to fraction form
    15.20/22.72 = 11.60/x
  3. Step 3: Cross multiply
    15.20x = 22.72 × 11.60
  4. Step 4: Simplify right side
    15.20x = 263.55
  5. Step 5: Solve for x
    x = 263.55/15.20
  6. Step 6: Final answer
    x = 17.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.