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Finding the Fourth Proportional to 73.94, 110.93 and 43.47

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Solution

The fourth proportional to 73.94, 110.93 and 43.47 is: 65.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.94 : 110.93 = 43.47 : x
  2. Step 2: Convert to fraction form
    73.94/110.93 = 43.47/x
  3. Step 3: Cross multiply
    73.94x = 110.93 × 43.47
  4. Step 4: Simplify right side
    73.94x = 4,821.91
  5. Step 5: Solve for x
    x = 4,821.91/73.94
  6. Step 6: Final answer
    x = 65.22

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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.