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Finding the Fourth Proportional to 23.00, 31.74 and 13.79

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Solution

The fourth proportional to 23.00, 31.74 and 13.79 is: 19.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.00 : 31.74 = 13.79 : x
  2. Step 2: Convert to fraction form
    23.00/31.74 = 13.79/x
  3. Step 3: Cross multiply
    23.00x = 31.74 × 13.79
  4. Step 4: Simplify right side
    23.00x = 437.77
  5. Step 5: Solve for x
    x = 437.77/23.00
  6. Step 6: Final answer
    x = 19.04

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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.