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Finding the Fourth Proportional to 42.06, 57.99 and 30.40

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Solution

The fourth proportional to 42.06, 57.99 and 30.40 is: 41.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.06 : 57.99 = 30.40 : x
  2. Step 2: Convert to fraction form
    42.06/57.99 = 30.40/x
  3. Step 3: Cross multiply
    42.06x = 57.99 × 30.40
  4. Step 4: Simplify right side
    42.06x = 1,762.87
  5. Step 5: Solve for x
    x = 1,762.87/42.06
  6. Step 6: Final answer
    x = 41.91

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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.