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Finding the Fourth Proportional to 105.98, 159.86 and 104.93

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Solution

The fourth proportional to 105.98, 159.86 and 104.93 is: 158.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.98 : 159.86 = 104.93 : x
  2. Step 2: Convert to fraction form
    105.98/159.86 = 104.93/x
  3. Step 3: Cross multiply
    105.98x = 159.86 × 104.93
  4. Step 4: Simplify right side
    105.98x = 16,774.11
  5. Step 5: Solve for x
    x = 16,774.11/105.98
  6. Step 6: Final answer
    x = 158.28

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.