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Finding the Fourth Proportional to 98.97, 136.53 and 96.94

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Solution

The fourth proportional to 98.97, 136.53 and 96.94 is: 133.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.97 : 136.53 = 96.94 : x
  2. Step 2: Convert to fraction form
    98.97/136.53 = 96.94/x
  3. Step 3: Cross multiply
    98.97x = 136.53 × 96.94
  4. Step 4: Simplify right side
    98.97x = 13,235.39
  5. Step 5: Solve for x
    x = 13,235.39/98.97
  6. Step 6: Final answer
    x = 133.74

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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.