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Finding the Fourth Proportional to 131.93, 182.10 and 96.95

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Solution

The fourth proportional to 131.93, 182.10 and 96.95 is: 133.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.93 : 182.10 = 96.95 : x
  2. Step 2: Convert to fraction form
    131.93/182.10 = 96.95/x
  3. Step 3: Cross multiply
    131.93x = 182.10 × 96.95
  4. Step 4: Simplify right side
    131.93x = 17,653.68
  5. Step 5: Solve for x
    x = 17,653.68/131.93
  6. Step 6: Final answer
    x = 133.82

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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.