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Finding the Fourth Proportional to 73.77, 110.49 and 43.30

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Solution

The fourth proportional to 73.77, 110.49 and 43.30 is: 64.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.77 : 110.49 = 43.30 : x
  2. Step 2: Convert to fraction form
    73.77/110.49 = 43.30/x
  3. Step 3: Cross multiply
    73.77x = 110.49 × 43.30
  4. Step 4: Simplify right side
    73.77x = 4,784.22
  5. Step 5: Solve for x
    x = 4,784.22/73.77
  6. Step 6: Final answer
    x = 64.85

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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.