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Finding the Fourth Proportional to 42.46, 58.54 and 30.82

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Solution

The fourth proportional to 42.46, 58.54 and 30.82 is: 42.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.46 : 58.54 = 30.82 : x
  2. Step 2: Convert to fraction form
    42.46/58.54 = 30.82/x
  3. Step 3: Cross multiply
    42.46x = 58.54 × 30.82
  4. Step 4: Simplify right side
    42.46x = 1,804.20
  5. Step 5: Solve for x
    x = 1,804.20/42.46
  6. Step 6: Final answer
    x = 42.49

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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.