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Finding the Fourth Proportional to 19.74, 29.72 and 18.54

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Solution

The fourth proportional to 19.74, 29.72 and 18.54 is: 27.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.74 : 29.72 = 18.54 : x
  2. Step 2: Convert to fraction form
    19.74/29.72 = 18.54/x
  3. Step 3: Cross multiply
    19.74x = 29.72 × 18.54
  4. Step 4: Simplify right side
    19.74x = 551.01
  5. Step 5: Solve for x
    x = 551.01/19.74
  6. Step 6: Final answer
    x = 27.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.