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Finding the Fourth Proportional to 42.46, 58.52 and 30.14

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Solution

The fourth proportional to 42.46, 58.52 and 30.14 is: 41.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.46 : 58.52 = 30.14 : x
  2. Step 2: Convert to fraction form
    42.46/58.52 = 30.14/x
  3. Step 3: Cross multiply
    42.46x = 58.52 × 30.14
  4. Step 4: Simplify right side
    42.46x = 1,763.79
  5. Step 5: Solve for x
    x = 1,763.79/42.46
  6. Step 6: Final answer
    x = 41.54

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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.