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Finding the Fourth Proportional to 151.36, 208.88 and 96.14

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Solution

The fourth proportional to 151.36, 208.88 and 96.14 is: 132.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.36 : 208.88 = 96.14 : x
  2. Step 2: Convert to fraction form
    151.36/208.88 = 96.14/x
  3. Step 3: Cross multiply
    151.36x = 208.88 × 96.14
  4. Step 4: Simplify right side
    151.36x = 20,081.72
  5. Step 5: Solve for x
    x = 20,081.72/151.36
  6. Step 6: Final answer
    x = 132.68

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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.