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Finding the Fourth Proportional to 58.14, 80.23 and 33.59

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Solution

The fourth proportional to 58.14, 80.23 and 33.59 is: 46.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.14 : 80.23 = 33.59 : x
  2. Step 2: Convert to fraction form
    58.14/80.23 = 33.59/x
  3. Step 3: Cross multiply
    58.14x = 80.23 × 33.59
  4. Step 4: Simplify right side
    58.14x = 2,694.93
  5. Step 5: Solve for x
    x = 2,694.93/58.14
  6. Step 6: Final answer
    x = 46.35

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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.