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Finding the Fourth Proportional to 105.11, 145.14 and 84.50

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Solution

The fourth proportional to 105.11, 145.14 and 84.50 is: 116.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.11 : 145.14 = 84.50 : x
  2. Step 2: Convert to fraction form
    105.11/145.14 = 84.50/x
  3. Step 3: Cross multiply
    105.11x = 145.14 × 84.50
  4. Step 4: Simplify right side
    105.11x = 12,264.33
  5. Step 5: Solve for x
    x = 12,264.33/105.11
  6. Step 6: Final answer
    x = 116.68

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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.