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Finding the Fourth Proportional to 30.10, 41.24 and 29.38

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Solution

The fourth proportional to 30.10, 41.24 and 29.38 is: 40.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.10 : 41.24 = 29.38 : x
  2. Step 2: Convert to fraction form
    30.10/41.24 = 29.38/x
  3. Step 3: Cross multiply
    30.10x = 41.24 × 29.38
  4. Step 4: Simplify right side
    30.10x = 1,211.63
  5. Step 5: Solve for x
    x = 1,211.63/30.10
  6. Step 6: Final answer
    x = 40.25

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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.