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Finding the Fourth Proportional to 42.50, 58.53 and 37.31

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Solution

The fourth proportional to 42.50, 58.53 and 37.31 is: 51.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.50 : 58.53 = 37.31 : x
  2. Step 2: Convert to fraction form
    42.50/58.53 = 37.31/x
  3. Step 3: Cross multiply
    42.50x = 58.53 × 37.31
  4. Step 4: Simplify right side
    42.50x = 2,183.75
  5. Step 5: Solve for x
    x = 2,183.75/42.50
  6. Step 6: Final answer
    x = 51.38

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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.