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Finding the Fourth Proportional to 151.10, 208.46 and 92.84

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Solution

The fourth proportional to 151.10, 208.46 and 92.84 is: 128.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.10 : 208.46 = 92.84 : x
  2. Step 2: Convert to fraction form
    151.10/208.46 = 92.84/x
  3. Step 3: Cross multiply
    151.10x = 208.46 × 92.84
  4. Step 4: Simplify right side
    151.10x = 19,353.43
  5. Step 5: Solve for x
    x = 19,353.43/151.10
  6. Step 6: Final answer
    x = 128.08

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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.