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Finding the Fourth Proportional to 30.28, 45.36 and 29.23

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Solution

The fourth proportional to 30.28, 45.36 and 29.23 is: 43.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.28 : 45.36 = 29.23 : x
  2. Step 2: Convert to fraction form
    30.28/45.36 = 29.23/x
  3. Step 3: Cross multiply
    30.28x = 45.36 × 29.23
  4. Step 4: Simplify right side
    30.28x = 1,325.87
  5. Step 5: Solve for x
    x = 1,325.87/30.28
  6. Step 6: Final answer
    x = 43.79

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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.