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Finding the Fourth Proportional to 23.02, 31.77 and 13.82

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Solution

The fourth proportional to 23.02, 31.77 and 13.82 is: 19.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.02 : 31.77 = 13.82 : x
  2. Step 2: Convert to fraction form
    23.02/31.77 = 13.82/x
  3. Step 3: Cross multiply
    23.02x = 31.77 × 13.82
  4. Step 4: Simplify right side
    23.02x = 439.00
  5. Step 5: Solve for x
    x = 439.00/23.02
  6. Step 6: Final answer
    x = 19.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.