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Finding the Fourth Proportional to 42.10, 58.07 and 29.84

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Solution

The fourth proportional to 42.10, 58.07 and 29.84 is: 41.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.10 : 58.07 = 29.84 : x
  2. Step 2: Convert to fraction form
    42.10/58.07 = 29.84/x
  3. Step 3: Cross multiply
    42.10x = 58.07 × 29.84
  4. Step 4: Simplify right side
    42.10x = 1,732.43
  5. Step 5: Solve for x
    x = 1,732.43/42.10
  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.