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Finding the Fourth Proportional to 15.36, 22.80 and 14.36

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Solution

The fourth proportional to 15.36, 22.80 and 14.36 is: 21.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.36 : 22.80 = 14.36 : x
  2. Step 2: Convert to fraction form
    15.36/22.80 = 14.36/x
  3. Step 3: Cross multiply
    15.36x = 22.80 × 14.36
  4. Step 4: Simplify right side
    15.36x = 327.41
  5. Step 5: Solve for x
    x = 327.41/15.36
  6. Step 6: Final answer
    x = 21.32

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.