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Finding the Fourth Proportional to 58.09, 80.14 and 38.44

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Solution

The fourth proportional to 58.09, 80.14 and 38.44 is: 53.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.09 : 80.14 = 38.44 : x
  2. Step 2: Convert to fraction form
    58.09/80.14 = 38.44/x
  3. Step 3: Cross multiply
    58.09x = 80.14 × 38.44
  4. Step 4: Simplify right side
    58.09x = 3,080.69
  5. Step 5: Solve for x
    x = 3,080.69/58.09
  6. Step 6: Final answer
    x = 53.03

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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.