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Finding the Fourth Proportional to 105.77, 145.74 and 100.37

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Solution

The fourth proportional to 105.77, 145.74 and 100.37 is: 138.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.77 : 145.74 = 100.37 : x
  2. Step 2: Convert to fraction form
    105.77/145.74 = 100.37/x
  3. Step 3: Cross multiply
    105.77x = 145.74 × 100.37
  4. Step 4: Simplify right side
    105.77x = 14,627.20
  5. Step 5: Solve for x
    x = 14,627.20/105.77
  6. Step 6: Final answer
    x = 138.30

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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.