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Finding the Fourth Proportional to 24.60, 36.64 and 23.96

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Solution

The fourth proportional to 24.60, 36.64 and 23.96 is: 35.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.60 : 36.64 = 23.96 : x
  2. Step 2: Convert to fraction form
    24.60/36.64 = 23.96/x
  3. Step 3: Cross multiply
    24.60x = 36.64 × 23.96
  4. Step 4: Simplify right side
    24.60x = 877.83
  5. Step 5: Solve for x
    x = 877.83/24.60
  6. Step 6: Final answer
    x = 35.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.