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Finding the Fourth Proportional to 24.83, 37.20 and 13.40

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Solution

The fourth proportional to 24.83, 37.20 and 13.40 is: 20.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.83 : 37.20 = 13.40 : x
  2. Step 2: Convert to fraction form
    24.83/37.20 = 13.40/x
  3. Step 3: Cross multiply
    24.83x = 37.20 × 13.40
  4. Step 4: Simplify right side
    24.83x = 498.48
  5. Step 5: Solve for x
    x = 498.48/24.83
  6. Step 6: Final answer
    x = 20.08

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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.