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Finding the Fourth Proportional to 42.09, 58.03 and 29.78

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Solution

The fourth proportional to 42.09, 58.03 and 29.78 is: 41.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.09 : 58.03 = 29.78 : x
  2. Step 2: Convert to fraction form
    42.09/58.03 = 29.78/x
  3. Step 3: Cross multiply
    42.09x = 58.03 × 29.78
  4. Step 4: Simplify right side
    42.09x = 1,728.13
  5. Step 5: Solve for x
    x = 1,728.13/42.09
  6. Step 6: Final answer
    x = 41.06

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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.