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Finding the Fourth Proportional to 107.76, 161.46 and 56.34

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Solution

The fourth proportional to 107.76, 161.46 and 56.34 is: 84.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.76 : 161.46 = 56.34 : x
  2. Step 2: Convert to fraction form
    107.76/161.46 = 56.34/x
  3. Step 3: Cross multiply
    107.76x = 161.46 × 56.34
  4. Step 4: Simplify right side
    107.76x = 9,096.66
  5. Step 5: Solve for x
    x = 9,096.66/107.76
  6. Step 6: Final answer
    x = 84.42

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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.