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Finding the Fourth Proportional to 24.00, 36.05 and 16.40

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Solution

The fourth proportional to 24.00, 36.05 and 16.40 is: 24.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.00 : 36.05 = 16.40 : x
  2. Step 2: Convert to fraction form
    24.00/36.05 = 16.40/x
  3. Step 3: Cross multiply
    24.00x = 36.05 × 16.40
  4. Step 4: Simplify right side
    24.00x = 591.23
  5. Step 5: Solve for x
    x = 591.23/24.00
  6. Step 6: Final answer
    x = 24.64

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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.