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Finding the Fourth Proportional to 105.06, 145.08 and 94.26

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Solution

The fourth proportional to 105.06, 145.08 and 94.26 is: 130.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.06 : 145.08 = 94.26 : x
  2. Step 2: Convert to fraction form
    105.06/145.08 = 94.26/x
  3. Step 3: Cross multiply
    105.06x = 145.08 × 94.26
  4. Step 4: Simplify right side
    105.06x = 13,675.24
  5. Step 5: Solve for x
    x = 13,675.24/105.06
  6. Step 6: Final answer
    x = 130.17

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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.