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Finding the Fourth Proportional to 75.58, 111.94 and 74.77

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Solution

The fourth proportional to 75.58, 111.94 and 74.77 is: 110.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.58 : 111.94 = 74.77 : x
  2. Step 2: Convert to fraction form
    75.58/111.94 = 74.77/x
  3. Step 3: Cross multiply
    75.58x = 111.94 × 74.77
  4. Step 4: Simplify right side
    75.58x = 8,369.75
  5. Step 5: Solve for x
    x = 8,369.75/75.58
  6. Step 6: Final answer
    x = 110.74

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.