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Finding the Fourth Proportional to 30.10, 41.74 and 29.14

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Solution

The fourth proportional to 30.10, 41.74 and 29.14 is: 40.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.10 : 41.74 = 29.14 : x
  2. Step 2: Convert to fraction form
    30.10/41.74 = 29.14/x
  3. Step 3: Cross multiply
    30.10x = 41.74 × 29.14
  4. Step 4: Simplify right side
    30.10x = 1,216.30
  5. Step 5: Solve for x
    x = 1,216.30/30.10
  6. Step 6: Final answer
    x = 40.41

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.