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Finding the Fourth Proportional to 116.22, 174.32 and 107.10

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Solution

The fourth proportional to 116.22, 174.32 and 107.10 is: 160.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.22 : 174.32 = 107.10 : x
  2. Step 2: Convert to fraction form
    116.22/174.32 = 107.10/x
  3. Step 3: Cross multiply
    116.22x = 174.32 × 107.10
  4. Step 4: Simplify right side
    116.22x = 18,669.67
  5. Step 5: Solve for x
    x = 18,669.67/116.22
  6. Step 6: Final answer
    x = 160.64

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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.