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Finding the Fourth Proportional to 105.58, 158.35 and 75.05

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Solution

The fourth proportional to 105.58, 158.35 and 75.05 is: 112.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.58 : 158.35 = 75.05 : x
  2. Step 2: Convert to fraction form
    105.58/158.35 = 75.05/x
  3. Step 3: Cross multiply
    105.58x = 158.35 × 75.05
  4. Step 4: Simplify right side
    105.58x = 11,884.17
  5. Step 5: Solve for x
    x = 11,884.17/105.58
  6. Step 6: Final answer
    x = 112.56

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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.