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Finding the Fourth Proportional to 105.90, 145.98 and 84.03

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Solution

The fourth proportional to 105.90, 145.98 and 84.03 is: 115.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.90 : 145.98 = 84.03 : x
  2. Step 2: Convert to fraction form
    105.90/145.98 = 84.03/x
  3. Step 3: Cross multiply
    105.90x = 145.98 × 84.03
  4. Step 4: Simplify right side
    105.90x = 12,266.28
  5. Step 5: Solve for x
    x = 12,266.28/105.90
  6. Step 6: Final answer
    x = 115.83

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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.