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Finding the Fourth Proportional to 76.94, 105.80 and 62.00

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Solution

The fourth proportional to 76.94, 105.80 and 62.00 is: 85.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.94 : 105.80 = 62.00 : x
  2. Step 2: Convert to fraction form
    76.94/105.80 = 62.00/x
  3. Step 3: Cross multiply
    76.94x = 105.80 × 62.00
  4. Step 4: Simplify right side
    76.94x = 6,558.76
  5. Step 5: Solve for x
    x = 6,558.76/76.94
  6. Step 6: Final answer
    x = 85.25

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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.