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Finding the Fourth Proportional to 110.94, 152.96 and 75.90

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Solution

The fourth proportional to 110.94, 152.96 and 75.90 is: 104.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.94 : 152.96 = 75.90 : x
  2. Step 2: Convert to fraction form
    110.94/152.96 = 75.90/x
  3. Step 3: Cross multiply
    110.94x = 152.96 × 75.90
  4. Step 4: Simplify right side
    110.94x = 11,609.66
  5. Step 5: Solve for x
    x = 11,609.66/110.94
  6. Step 6: Final answer
    x = 104.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.