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Finding the Fourth Proportional to 73.83, 110.81 and 71.07

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Solution

The fourth proportional to 73.83, 110.81 and 71.07 is: 106.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.83 : 110.81 = 71.07 : x
  2. Step 2: Convert to fraction form
    73.83/110.81 = 71.07/x
  3. Step 3: Cross multiply
    73.83x = 110.81 × 71.07
  4. Step 4: Simplify right side
    73.83x = 7,874.91
  5. Step 5: Solve for x
    x = 7,874.91/73.83
  6. Step 6: Final answer
    x = 106.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.