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Finding the Fourth Proportional to 106.37, 145.96 and 105.35

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Solution

The fourth proportional to 106.37, 145.96 and 105.35 is: 144.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.37 : 145.96 = 105.35 : x
  2. Step 2: Convert to fraction form
    106.37/145.96 = 105.35/x
  3. Step 3: Cross multiply
    106.37x = 145.96 × 105.35
  4. Step 4: Simplify right side
    106.37x = 15,376.99
  5. Step 5: Solve for x
    x = 15,376.99/106.37
  6. Step 6: Final answer
    x = 144.56

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Why These Related Problems?

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