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Finding the Fourth Proportional to 112.26, 153.99 and 106.05

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Solution

The fourth proportional to 112.26, 153.99 and 106.05 is: 145.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.26 : 153.99 = 106.05 : x
  2. Step 2: Convert to fraction form
    112.26/153.99 = 106.05/x
  3. Step 3: Cross multiply
    112.26x = 153.99 × 106.05
  4. Step 4: Simplify right side
    112.26x = 16,330.64
  5. Step 5: Solve for x
    x = 16,330.64/112.26
  6. Step 6: Final answer
    x = 145.47

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.