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Finding the Fourth Proportional to 71.96, 98.96 and 68.00

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Solution

The fourth proportional to 71.96, 98.96 and 68.00 is: 93.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.96 : 98.96 = 68.00 : x
  2. Step 2: Convert to fraction form
    71.96/98.96 = 68.00/x
  3. Step 3: Cross multiply
    71.96x = 98.96 × 68.00
  4. Step 4: Simplify right side
    71.96x = 6,728.45
  5. Step 5: Solve for x
    x = 6,728.45/71.96
  6. Step 6: Final answer
    x = 93.51

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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.