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Finding the Fourth Proportional to 108.86, 150.28 and 106

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Solution

The fourth proportional to 108.86, 150.28 and 106 is: 146.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.86 : 150.28 = 106 : x
  2. Step 2: Convert to fraction form
    108.86/150.28 = 106/x
  3. Step 3: Cross multiply
    108.86x = 150.28 × 106
  4. Step 4: Simplify right side
    108.86x = 15,929.68
  5. Step 5: Solve for x
    x = 15,929.68/108.86
  6. Step 6: Final answer
    x = 146.33

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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.