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Finding the Fourth Proportional to 110.24, 152.18 and 105.64

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Solution

The fourth proportional to 110.24, 152.18 and 105.64 is: 145.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.24 : 152.18 = 105.64 : x
  2. Step 2: Convert to fraction form
    110.24/152.18 = 105.64/x
  3. Step 3: Cross multiply
    110.24x = 152.18 × 105.64
  4. Step 4: Simplify right side
    110.24x = 16,076.30
  5. Step 5: Solve for x
    x = 16,076.30/110.24
  6. Step 6: Final answer
    x = 145.83

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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.