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Finding the Fourth Proportional to 116.26, 160.66 and 105.32

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Solution

The fourth proportional to 116.26, 160.66 and 105.32 is: 145.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.26 : 160.66 = 105.32 : x
  2. Step 2: Convert to fraction form
    116.26/160.66 = 105.32/x
  3. Step 3: Cross multiply
    116.26x = 160.66 × 105.32
  4. Step 4: Simplify right side
    116.26x = 16,920.71
  5. Step 5: Solve for x
    x = 16,920.71/116.26
  6. Step 6: Final answer
    x = 145.54

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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.