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Finding the Fourth Proportional to 151.10, 208.23 and 111.68

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Solution

The fourth proportional to 151.10, 208.23 and 111.68 is: 153.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.10 : 208.23 = 111.68 : x
  2. Step 2: Convert to fraction form
    151.10/208.23 = 111.68/x
  3. Step 3: Cross multiply
    151.10x = 208.23 × 111.68
  4. Step 4: Simplify right side
    151.10x = 23,254.09
  5. Step 5: Solve for x
    x = 23,254.09/151.10
  6. Step 6: Final answer
    x = 153.90

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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.