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Finding the Fourth Proportional to 109.99, 164.94 and 75.74

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Solution

The fourth proportional to 109.99, 164.94 and 75.74 is: 113.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.99 : 164.94 = 75.74 : x
  2. Step 2: Convert to fraction form
    109.99/164.94 = 75.74/x
  3. Step 3: Cross multiply
    109.99x = 164.94 × 75.74
  4. Step 4: Simplify right side
    109.99x = 12,492.56
  5. Step 5: Solve for x
    x = 12,492.56/109.99
  6. Step 6: Final answer
    x = 113.58

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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.