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Finding the Fourth Proportional to 105.38, 157.06 and 100.86

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Solution

The fourth proportional to 105.38, 157.06 and 100.86 is: 150.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.38 : 157.06 = 100.86 : x
  2. Step 2: Convert to fraction form
    105.38/157.06 = 100.86/x
  3. Step 3: Cross multiply
    105.38x = 157.06 × 100.86
  4. Step 4: Simplify right side
    105.38x = 15,841.07
  5. Step 5: Solve for x
    x = 15,841.07/105.38
  6. Step 6: Final answer
    x = 150.32

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.