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Finding the Fourth Proportional to 58.73, 80.34 and 58.46

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Solution

The fourth proportional to 58.73, 80.34 and 58.46 is: 79.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.73 : 80.34 = 58.46 : x
  2. Step 2: Convert to fraction form
    58.73/80.34 = 58.46/x
  3. Step 3: Cross multiply
    58.73x = 80.34 × 58.46
  4. Step 4: Simplify right side
    58.73x = 4,696.06
  5. Step 5: Solve for x
    x = 4,696.06/58.73
  6. Step 6: Final answer
    x = 79.97

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.