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Finding the Fourth Proportional to 42.48, 58.56 and 31.54

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Solution

The fourth proportional to 42.48, 58.56 and 31.54 is: 43.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.48 : 58.56 = 31.54 : x
  2. Step 2: Convert to fraction form
    42.48/58.56 = 31.54/x
  3. Step 3: Cross multiply
    42.48x = 58.56 × 31.54
  4. Step 4: Simplify right side
    42.48x = 1,846.98
  5. Step 5: Solve for x
    x = 1,846.98/42.48
  6. Step 6: Final answer
    x = 43.48

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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.