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Finding the Fourth Proportional to 105.98, 146.10 and 105.32

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Solution

The fourth proportional to 105.98, 146.10 and 105.32 is: 145.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.98 : 146.10 = 105.32 : x
  2. Step 2: Convert to fraction form
    105.98/146.10 = 105.32/x
  3. Step 3: Cross multiply
    105.98x = 146.10 × 105.32
  4. Step 4: Simplify right side
    105.98x = 15,387.25
  5. Step 5: Solve for x
    x = 15,387.25/105.98
  6. Step 6: Final answer
    x = 145.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.