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Finding the Fourth Proportional to 105.89, 145.26 and 99.68

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Solution

The fourth proportional to 105.89, 145.26 and 99.68 is: 136.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.89 : 145.26 = 99.68 : x
  2. Step 2: Convert to fraction form
    105.89/145.26 = 99.68/x
  3. Step 3: Cross multiply
    105.89x = 145.26 × 99.68
  4. Step 4: Simplify right side
    105.89x = 14,478.79
  5. Step 5: Solve for x
    x = 14,478.79/105.89
  6. Step 6: Final answer
    x = 136.74

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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.