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Finding the Fourth Proportional to 105.40, 145.27 and 84.64

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Solution

The fourth proportional to 105.40, 145.27 and 84.64 is: 116.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.40 : 145.27 = 84.64 : x
  2. Step 2: Convert to fraction form
    105.40/145.27 = 84.64/x
  3. Step 3: Cross multiply
    105.40x = 145.27 × 84.64
  4. Step 4: Simplify right side
    105.40x = 12,295.44
  5. Step 5: Solve for x
    x = 12,295.44/105.40
  6. Step 6: Final answer
    x = 116.66

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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.