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Finding the Fourth Proportional to 42.57, 58.83 and 32.19

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Solution

The fourth proportional to 42.57, 58.83 and 32.19 is: 44.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.57 : 58.83 = 32.19 : x
  2. Step 2: Convert to fraction form
    42.57/58.83 = 32.19/x
  3. Step 3: Cross multiply
    42.57x = 58.83 × 32.19
  4. Step 4: Simplify right side
    42.57x = 1,893.95
  5. Step 5: Solve for x
    x = 1,893.95/42.57
  6. Step 6: Final answer
    x = 44.49

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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.