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Finding the Fourth Proportional to 73.06, 100.83 and 70.66

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Solution

The fourth proportional to 73.06, 100.83 and 70.66 is: 97.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.06 : 100.83 = 70.66 : x
  2. Step 2: Convert to fraction form
    73.06/100.83 = 70.66/x
  3. Step 3: Cross multiply
    73.06x = 100.83 × 70.66
  4. Step 4: Simplify right side
    73.06x = 7,124.14
  5. Step 5: Solve for x
    x = 7,124.14/73.06
  6. Step 6: Final answer
    x = 97.51

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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.