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Finding the Fourth Proportional to 24.56, 36.85 and 9.35

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Solution

The fourth proportional to 24.56, 36.85 and 9.35 is: 14.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.56 : 36.85 = 9.35 : x
  2. Step 2: Convert to fraction form
    24.56/36.85 = 9.35/x
  3. Step 3: Cross multiply
    24.56x = 36.85 × 9.35
  4. Step 4: Simplify right side
    24.56x = 344.34
  5. Step 5: Solve for x
    x = 344.34/24.56
  6. Step 6: Final answer
    x = 14.02

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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.