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Finding the Fourth Proportional to 24.36, 36.54 and 9.15

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Solution

The fourth proportional to 24.36, 36.54 and 9.15 is: 13.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.36 : 36.54 = 9.15 : x
  2. Step 2: Convert to fraction form
    24.36/36.54 = 9.15/x
  3. Step 3: Cross multiply
    24.36x = 36.54 × 9.15
  4. Step 4: Simplify right side
    24.36x = 334.16
  5. Step 5: Solve for x
    x = 334.16/24.36
  6. Step 6: Final answer
    x = 13.72

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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.