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Finding the Fourth Proportional to 20.54, 30.59 and 19.72

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Solution

The fourth proportional to 20.54, 30.59 and 19.72 is: 29.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.54 : 30.59 = 19.72 : x
  2. Step 2: Convert to fraction form
    20.54/30.59 = 19.72/x
  3. Step 3: Cross multiply
    20.54x = 30.59 × 19.72
  4. Step 4: Simplify right side
    20.54x = 603.23
  5. Step 5: Solve for x
    x = 603.23/20.54
  6. Step 6: Final answer
    x = 29.37

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.