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Finding the Fourth Proportional to 96.94, 133.56 and 96.94

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Solution

The fourth proportional to 96.94, 133.56 and 96.94 is: 133.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.94 : 133.56 = 96.94 : x
  2. Step 2: Convert to fraction form
    96.94/133.56 = 96.94/x
  3. Step 3: Cross multiply
    96.94x = 133.56 × 96.94
  4. Step 4: Simplify right side
    96.94x = 12,947.31
  5. Step 5: Solve for x
    x = 12,947.31/96.94
  6. Step 6: Final answer
    x = 133.56

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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.