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Finding the Fourth Proportional to 78.93, 108.35 and 71.98

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Solution

The fourth proportional to 78.93, 108.35 and 71.98 is: 98.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.93 : 108.35 = 71.98 : x
  2. Step 2: Convert to fraction form
    78.93/108.35 = 71.98/x
  3. Step 3: Cross multiply
    78.93x = 108.35 × 71.98
  4. Step 4: Simplify right side
    78.93x = 7,799.03
  5. Step 5: Solve for x
    x = 7,799.03/78.93
  6. Step 6: Final answer
    x = 98.81

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