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Finding the Fourth Proportional to 116.46, 175.40 and 105.18

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Solution

The fourth proportional to 116.46, 175.40 and 105.18 is: 158.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.46 : 175.40 = 105.18 : x
  2. Step 2: Convert to fraction form
    116.46/175.40 = 105.18/x
  3. Step 3: Cross multiply
    116.46x = 175.40 × 105.18
  4. Step 4: Simplify right side
    116.46x = 18,448.05
  5. Step 5: Solve for x
    x = 18,448.05/116.46
  6. Step 6: Final answer
    x = 158.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.