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Finding the Fourth Proportional to 42.31, 58.23 and 30.00

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Solution

The fourth proportional to 42.31, 58.23 and 30.00 is: 41.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.31 : 58.23 = 30.00 : x
  2. Step 2: Convert to fraction form
    42.31/58.23 = 30.00/x
  3. Step 3: Cross multiply
    42.31x = 58.23 × 30.00
  4. Step 4: Simplify right side
    42.31x = 1,747.01
  5. Step 5: Solve for x
    x = 1,747.01/42.31
  6. Step 6: Final answer
    x = 41.30

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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.