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Finding the Fourth Proportional to 96.40, 133 and 77.04

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Solution

The fourth proportional to 96.40, 133 and 77.04 is: 106.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.40 : 133 = 77.04 : x
  2. Step 2: Convert to fraction form
    96.40/133 = 77.04/x
  3. Step 3: Cross multiply
    96.40x = 133 × 77.04
  4. Step 4: Simplify right side
    96.40x = 10,246.32
  5. Step 5: Solve for x
    x = 10,246.32/96.40
  6. Step 6: Final answer
    x = 106.29

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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.