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Finding the Fourth Proportional to 151.08, 208.32 and 112.02

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Solution

The fourth proportional to 151.08, 208.32 and 112.02 is: 154.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.08 : 208.32 = 112.02 : x
  2. Step 2: Convert to fraction form
    151.08/208.32 = 112.02/x
  3. Step 3: Cross multiply
    151.08x = 208.32 × 112.02
  4. Step 4: Simplify right side
    151.08x = 23,336.01
  5. Step 5: Solve for x
    x = 23,336.01/151.08
  6. Step 6: Final answer
    x = 154.46

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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.