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Finding the Fourth Proportional to 117.75, 162.84 and 105.45

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Solution

The fourth proportional to 117.75, 162.84 and 105.45 is: 145.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.75 : 162.84 = 105.45 : x
  2. Step 2: Convert to fraction form
    117.75/162.84 = 105.45/x
  3. Step 3: Cross multiply
    117.75x = 162.84 × 105.45
  4. Step 4: Simplify right side
    117.75x = 17,171.48
  5. Step 5: Solve for x
    x = 17,171.48/117.75
  6. Step 6: Final answer
    x = 145.83

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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.