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Finding the Fourth Proportional to 105.46, 157.91 and 90.74

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Solution

The fourth proportional to 105.46, 157.91 and 90.74 is: 135.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.46 : 157.91 = 90.74 : x
  2. Step 2: Convert to fraction form
    105.46/157.91 = 90.74/x
  3. Step 3: Cross multiply
    105.46x = 157.91 × 90.74
  4. Step 4: Simplify right side
    105.46x = 14,328.69
  5. Step 5: Solve for x
    x = 14,328.69/105.46
  6. Step 6: Final answer
    x = 135.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.