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Finding the Fourth Proportional to 30.03, 41.36 and 24.84

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Solution

The fourth proportional to 30.03, 41.36 and 24.84 is: 34.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.03 : 41.36 = 24.84 : x
  2. Step 2: Convert to fraction form
    30.03/41.36 = 24.84/x
  3. Step 3: Cross multiply
    30.03x = 41.36 × 24.84
  4. Step 4: Simplify right side
    30.03x = 1,027.38
  5. Step 5: Solve for x
    x = 1,027.38/30.03
  6. Step 6: Final answer
    x = 34.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.