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Finding the Fourth Proportional to 73.05, 100.83 and 51.18

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Solution

The fourth proportional to 73.05, 100.83 and 51.18 is: 70.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.05 : 100.83 = 51.18 : x
  2. Step 2: Convert to fraction form
    73.05/100.83 = 51.18/x
  3. Step 3: Cross multiply
    73.05x = 100.83 × 51.18
  4. Step 4: Simplify right side
    73.05x = 5,160.29
  5. Step 5: Solve for x
    x = 5,160.29/73.05
  6. Step 6: Final answer
    x = 70.64

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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.