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Finding the Fourth Proportional to 105.94, 158.77 and 45.06

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Solution

The fourth proportional to 105.94, 158.77 and 45.06 is: 67.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.94 : 158.77 = 45.06 : x
  2. Step 2: Convert to fraction form
    105.94/158.77 = 45.06/x
  3. Step 3: Cross multiply
    105.94x = 158.77 × 45.06
  4. Step 4: Simplify right side
    105.94x = 7,154.18
  5. Step 5: Solve for x
    x = 7,154.18/105.94
  6. Step 6: Final answer
    x = 67.53

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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.