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Finding the Fourth Proportional to 42.14, 58.11 and 29.84

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Solution

The fourth proportional to 42.14, 58.11 and 29.84 is: 41.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.14 : 58.11 = 29.84 : x
  2. Step 2: Convert to fraction form
    42.14/58.11 = 29.84/x
  3. Step 3: Cross multiply
    42.14x = 58.11 × 29.84
  4. Step 4: Simplify right side
    42.14x = 1,733.71
  5. Step 5: Solve for x
    x = 1,733.71/42.14
  6. Step 6: Final answer
    x = 41.15

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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.