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Finding the Fourth Proportional to 96.98, 133.70 and 77.36

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Solution

The fourth proportional to 96.98, 133.70 and 77.36 is: 106.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.98 : 133.70 = 77.36 : x
  2. Step 2: Convert to fraction form
    96.98/133.70 = 77.36/x
  3. Step 3: Cross multiply
    96.98x = 133.70 × 77.36
  4. Step 4: Simplify right side
    96.98x = 10,343.03
  5. Step 5: Solve for x
    x = 10,343.03/96.98
  6. Step 6: Final answer
    x = 106.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.