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Finding the Fourth Proportional to 74.10, 110.37 and 73.77

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Solution

The fourth proportional to 74.10, 110.37 and 73.77 is: 109.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.10 : 110.37 = 73.77 : x
  2. Step 2: Convert to fraction form
    74.10/110.37 = 73.77/x
  3. Step 3: Cross multiply
    74.10x = 110.37 × 73.77
  4. Step 4: Simplify right side
    74.10x = 8,141.99
  5. Step 5: Solve for x
    x = 8,141.99/74.10
  6. Step 6: Final answer
    x = 109.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.