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Finding the Fourth Proportional to 105.60, 145.44 and 91.68

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Solution

The fourth proportional to 105.60, 145.44 and 91.68 is: 126.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.60 : 145.44 = 91.68 : x
  2. Step 2: Convert to fraction form
    105.60/145.44 = 91.68/x
  3. Step 3: Cross multiply
    105.60x = 145.44 × 91.68
  4. Step 4: Simplify right side
    105.60x = 13,333.94
  5. Step 5: Solve for x
    x = 13,333.94/105.60
  6. Step 6: Final answer
    x = 126.27

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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.