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Finding the Fourth Proportional to 30.24, 45.34 and 24.23

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Solution

The fourth proportional to 30.24, 45.34 and 24.23 is: 36.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.24 : 45.34 = 24.23 : x
  2. Step 2: Convert to fraction form
    30.24/45.34 = 24.23/x
  3. Step 3: Cross multiply
    30.24x = 45.34 × 24.23
  4. Step 4: Simplify right side
    30.24x = 1,098.59
  5. Step 5: Solve for x
    x = 1,098.59/30.24
  6. Step 6: Final answer
    x = 36.33

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Why These Related Problems?

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