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Finding the Fourth Proportional to 109.68, 151.44 and 105.12

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Solution

The fourth proportional to 109.68, 151.44 and 105.12 is: 145.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.68 : 151.44 = 105.12 : x
  2. Step 2: Convert to fraction form
    109.68/151.44 = 105.12/x
  3. Step 3: Cross multiply
    109.68x = 151.44 × 105.12
  4. Step 4: Simplify right side
    109.68x = 15,919.37
  5. Step 5: Solve for x
    x = 15,919.37/109.68
  6. Step 6: Final answer
    x = 145.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.