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Finding the Fourth Proportional to 58.14, 80.23 and 31.91

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Solution

The fourth proportional to 58.14, 80.23 and 31.91 is: 44.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.14 : 80.23 = 31.91 : x
  2. Step 2: Convert to fraction form
    58.14/80.23 = 31.91/x
  3. Step 3: Cross multiply
    58.14x = 80.23 × 31.91
  4. Step 4: Simplify right side
    58.14x = 2,560.14
  5. Step 5: Solve for x
    x = 2,560.14/58.14
  6. Step 6: Final answer
    x = 44.03

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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.