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Finding the Fourth Proportional to 97.95, 135.75 and 96.84

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Solution

The fourth proportional to 97.95, 135.75 and 96.84 is: 134.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.95 : 135.75 = 96.84 : x
  2. Step 2: Convert to fraction form
    97.95/135.75 = 96.84/x
  3. Step 3: Cross multiply
    97.95x = 135.75 × 96.84
  4. Step 4: Simplify right side
    97.95x = 13,146.03
  5. Step 5: Solve for x
    x = 13,146.03/97.95
  6. Step 6: Final answer
    x = 134.21

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.