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Finding the Fourth Proportional to 105.68, 145.74 and 93.52

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Solution

The fourth proportional to 105.68, 145.74 and 93.52 is: 128.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.68 : 145.74 = 93.52 : x
  2. Step 2: Convert to fraction form
    105.68/145.74 = 93.52/x
  3. Step 3: Cross multiply
    105.68x = 145.74 × 93.52
  4. Step 4: Simplify right side
    105.68x = 13,629.60
  5. Step 5: Solve for x
    x = 13,629.60/105.68
  6. Step 6: Final answer
    x = 128.97

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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.