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Finding the Fourth Proportional to 30.15, 41.77 and 29.78

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Solution

The fourth proportional to 30.15, 41.77 and 29.78 is: 41.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.15 : 41.77 = 29.78 : x
  2. Step 2: Convert to fraction form
    30.15/41.77 = 29.78/x
  3. Step 3: Cross multiply
    30.15x = 41.77 × 29.78
  4. Step 4: Simplify right side
    30.15x = 1,243.86
  5. Step 5: Solve for x
    x = 1,243.86/30.15
  6. Step 6: Final answer
    x = 41.26

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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.