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Finding the Fourth Proportional to 58.31, 80.46 and 33.76

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Solution

The fourth proportional to 58.31, 80.46 and 33.76 is: 46.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.31 : 80.46 = 33.76 : x
  2. Step 2: Convert to fraction form
    58.31/80.46 = 33.76/x
  3. Step 3: Cross multiply
    58.31x = 80.46 × 33.76
  4. Step 4: Simplify right side
    58.31x = 2,716.13
  5. Step 5: Solve for x
    x = 2,716.13/58.31
  6. Step 6: Final answer
    x = 46.58

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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.