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Finding the Fourth Proportional to 117.23, 161.92 and 105.02

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Solution

The fourth proportional to 117.23, 161.92 and 105.02 is: 145.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.23 : 161.92 = 105.02 : x
  2. Step 2: Convert to fraction form
    117.23/161.92 = 105.02/x
  3. Step 3: Cross multiply
    117.23x = 161.92 × 105.02
  4. Step 4: Simplify right side
    117.23x = 17,003.77
  5. Step 5: Solve for x
    x = 17,003.77/117.23
  6. Step 6: Final answer
    x = 145.04

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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.