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Finding the Fourth Proportional to 151.07, 208.53 and 107.42

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Solution

The fourth proportional to 151.07, 208.53 and 107.42 is: 148.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.07 : 208.53 = 107.42 : x
  2. Step 2: Convert to fraction form
    151.07/208.53 = 107.42/x
  3. Step 3: Cross multiply
    151.07x = 208.53 × 107.42
  4. Step 4: Simplify right side
    151.07x = 22,399.25
  5. Step 5: Solve for x
    x = 22,399.25/151.07
  6. Step 6: Final answer
    x = 148.28

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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.