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Finding the Fourth Proportional to 105.06, 157.38 and 89.94

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Solution

The fourth proportional to 105.06, 157.38 and 89.94 is: 134.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.06 : 157.38 = 89.94 : x
  2. Step 2: Convert to fraction form
    105.06/157.38 = 89.94/x
  3. Step 3: Cross multiply
    105.06x = 157.38 × 89.94
  4. Step 4: Simplify right side
    105.06x = 14,154.76
  5. Step 5: Solve for x
    x = 14,154.76/105.06
  6. Step 6: Final answer
    x = 134.73

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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.