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Finding the Fourth Proportional to 107.76, 161.64 and 75.64

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Solution

The fourth proportional to 107.76, 161.64 and 75.64 is: 113.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.76 : 161.64 = 75.64 : x
  2. Step 2: Convert to fraction form
    107.76/161.64 = 75.64/x
  3. Step 3: Cross multiply
    107.76x = 161.64 × 75.64
  4. Step 4: Simplify right side
    107.76x = 12,226.45
  5. Step 5: Solve for x
    x = 12,226.45/107.76
  6. Step 6: Final answer
    x = 113.46

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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.