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Finding the Fourth Proportional to 30.64, 45.92 and 20.33

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Solution

The fourth proportional to 30.64, 45.92 and 20.33 is: 30.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.64 : 45.92 = 20.33 : x
  2. Step 2: Convert to fraction form
    30.64/45.92 = 20.33/x
  3. Step 3: Cross multiply
    30.64x = 45.92 × 20.33
  4. Step 4: Simplify right side
    30.64x = 933.72
  5. Step 5: Solve for x
    x = 933.72/30.64
  6. Step 6: Final answer
    x = 30.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.