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Finding the Fourth Proportional to 24.85, 37.26 and 9.64

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Solution

The fourth proportional to 24.85, 37.26 and 9.64 is: 14.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.85 : 37.26 = 9.64 : x
  2. Step 2: Convert to fraction form
    24.85/37.26 = 9.64/x
  3. Step 3: Cross multiply
    24.85x = 37.26 × 9.64
  4. Step 4: Simplify right side
    24.85x = 359.19
  5. Step 5: Solve for x
    x = 359.19/24.85
  6. Step 6: Final answer
    x = 14.45

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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.