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Finding the Fourth Proportional to 112.58, 155.07 and 106.23

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Solution

The fourth proportional to 112.58, 155.07 and 106.23 is: 146.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.58 : 155.07 = 106.23 : x
  2. Step 2: Convert to fraction form
    112.58/155.07 = 106.23/x
  3. Step 3: Cross multiply
    112.58x = 155.07 × 106.23
  4. Step 4: Simplify right side
    112.58x = 16,473.09
  5. Step 5: Solve for x
    x = 16,473.09/112.58
  6. Step 6: Final answer
    x = 146.32

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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.