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Finding the Fourth Proportional to 24.37, 36.53 and 9.15

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Solution

The fourth proportional to 24.37, 36.53 and 9.15 is: 13.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.37 : 36.53 = 9.15 : x
  2. Step 2: Convert to fraction form
    24.37/36.53 = 9.15/x
  3. Step 3: Cross multiply
    24.37x = 36.53 × 9.15
  4. Step 4: Simplify right side
    24.37x = 334.14
  5. Step 5: Solve for x
    x = 334.14/24.37
  6. Step 6: Final answer
    x = 13.71

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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.