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Finding the Fourth Proportional to 105.77, 157.85 and 105.17

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Solution

The fourth proportional to 105.77, 157.85 and 105.17 is: 156.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.77 : 157.85 = 105.17 : x
  2. Step 2: Convert to fraction form
    105.77/157.85 = 105.17/x
  3. Step 3: Cross multiply
    105.77x = 157.85 × 105.17
  4. Step 4: Simplify right side
    105.77x = 16,600.16
  5. Step 5: Solve for x
    x = 16,600.16/105.77
  6. Step 6: Final answer
    x = 156.94

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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.