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Finding the Fourth Proportional to 24.64, 36.90 and 14.47

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Solution

The fourth proportional to 24.64, 36.90 and 14.47 is: 21.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.64 : 36.90 = 14.47 : x
  2. Step 2: Convert to fraction form
    24.64/36.90 = 14.47/x
  3. Step 3: Cross multiply
    24.64x = 36.90 × 14.47
  4. Step 4: Simplify right side
    24.64x = 533.94
  5. Step 5: Solve for x
    x = 533.94/24.64
  6. Step 6: Final answer
    x = 21.67

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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.