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Finding the Fourth Proportional to 15.36, 22.88 and 15

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Solution

The fourth proportional to 15.36, 22.88 and 15 is: 22.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.36 : 22.88 = 15 : x
  2. Step 2: Convert to fraction form
    15.36/22.88 = 15/x
  3. Step 3: Cross multiply
    15.36x = 22.88 × 15
  4. Step 4: Simplify right side
    15.36x = 343.20
  5. Step 5: Solve for x
    x = 343.20/15.36
  6. Step 6: Final answer
    x = 22.34

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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.