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Finding the Fourth Proportional to 107.94, 161.76 and 77.52

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Solution

The fourth proportional to 107.94, 161.76 and 77.52 is: 116.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.94 : 161.76 = 77.52 : x
  2. Step 2: Convert to fraction form
    107.94/161.76 = 77.52/x
  3. Step 3: Cross multiply
    107.94x = 161.76 × 77.52
  4. Step 4: Simplify right side
    107.94x = 12,539.64
  5. Step 5: Solve for x
    x = 12,539.64/107.94
  6. Step 6: Final answer
    x = 116.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.