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Finding the Fourth Proportional to 105.64, 145.62 and 74.46

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Solution

The fourth proportional to 105.64, 145.62 and 74.46 is: 102.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.64 : 145.62 = 74.46 : x
  2. Step 2: Convert to fraction form
    105.64/145.62 = 74.46/x
  3. Step 3: Cross multiply
    105.64x = 145.62 × 74.46
  4. Step 4: Simplify right side
    105.64x = 10,842.87
  5. Step 5: Solve for x
    x = 10,842.87/105.64
  6. Step 6: Final answer
    x = 102.64

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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.