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Finding the Fourth Proportional to 24.47, 36.70 and 24.00

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Solution

The fourth proportional to 24.47, 36.70 and 24.00 is: 35.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.47 : 36.70 = 24.00 : x
  2. Step 2: Convert to fraction form
    24.47/36.70 = 24.00/x
  3. Step 3: Cross multiply
    24.47x = 36.70 × 24.00
  4. Step 4: Simplify right side
    24.47x = 880.62
  5. Step 5: Solve for x
    x = 880.62/24.47
  6. Step 6: Final answer
    x = 35.99

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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.