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Finding the Fourth Proportional to 15.18, 22.80 and 11.64

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Solution

The fourth proportional to 15.18, 22.80 and 11.64 is: 17.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.18 : 22.80 = 11.64 : x
  2. Step 2: Convert to fraction form
    15.18/22.80 = 11.64/x
  3. Step 3: Cross multiply
    15.18x = 22.80 × 11.64
  4. Step 4: Simplify right side
    15.18x = 265.39
  5. Step 5: Solve for x
    x = 265.39/15.18
  6. Step 6: Final answer
    x = 17.48

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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.