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Finding the Fourth Proportional to 105.98, 145.31 and 95.57

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Solution

The fourth proportional to 105.98, 145.31 and 95.57 is: 131.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.98 : 145.31 = 95.57 : x
  2. Step 2: Convert to fraction form
    105.98/145.31 = 95.57/x
  3. Step 3: Cross multiply
    105.98x = 145.31 × 95.57
  4. Step 4: Simplify right side
    105.98x = 13,887.52
  5. Step 5: Solve for x
    x = 13,887.52/105.98
  6. Step 6: Final answer
    x = 131.05

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.