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Finding the Fourth Proportional to 30.49, 41.78 and 30.24

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Solution

The fourth proportional to 30.49, 41.78 and 30.24 is: 41.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.49 : 41.78 = 30.24 : x
  2. Step 2: Convert to fraction form
    30.49/41.78 = 30.24/x
  3. Step 3: Cross multiply
    30.49x = 41.78 × 30.24
  4. Step 4: Simplify right side
    30.49x = 1,263.43
  5. Step 5: Solve for x
    x = 1,263.43/30.49
  6. Step 6: Final answer
    x = 41.44

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.