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Finding the Fourth Proportional to 76.80, 105.73 and 58.26

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Solution

The fourth proportional to 76.80, 105.73 and 58.26 is: 80.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.80 : 105.73 = 58.26 : x
  2. Step 2: Convert to fraction form
    76.80/105.73 = 58.26/x
  3. Step 3: Cross multiply
    76.80x = 105.73 × 58.26
  4. Step 4: Simplify right side
    76.80x = 6,159.83
  5. Step 5: Solve for x
    x = 6,159.83/76.80
  6. Step 6: Final answer
    x = 80.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.