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Finding the Fourth Proportional to 72.82, 100.06 and 65.98

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Solution

The fourth proportional to 72.82, 100.06 and 65.98 is: 90.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.82 : 100.06 = 65.98 : x
  2. Step 2: Convert to fraction form
    72.82/100.06 = 65.98/x
  3. Step 3: Cross multiply
    72.82x = 100.06 × 65.98
  4. Step 4: Simplify right side
    72.82x = 6,601.96
  5. Step 5: Solve for x
    x = 6,601.96/72.82
  6. Step 6: Final answer
    x = 90.66

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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.