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Finding the Fourth Proportional to 19.73, 29.72 and 18.53

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Solution

The fourth proportional to 19.73, 29.72 and 18.53 is: 27.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.73 : 29.72 = 18.53 : x
  2. Step 2: Convert to fraction form
    19.73/29.72 = 18.53/x
  3. Step 3: Cross multiply
    19.73x = 29.72 × 18.53
  4. Step 4: Simplify right side
    19.73x = 550.71
  5. Step 5: Solve for x
    x = 550.71/19.73
  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.