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Finding the Fourth Proportional to 117.50, 162.23 and 105.20

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Solution

The fourth proportional to 117.50, 162.23 and 105.20 is: 145.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.50 : 162.23 = 105.20 : x
  2. Step 2: Convert to fraction form
    117.50/162.23 = 105.20/x
  3. Step 3: Cross multiply
    117.50x = 162.23 × 105.20
  4. Step 4: Simplify right side
    117.50x = 17,065.66
  5. Step 5: Solve for x
    x = 17,065.66/117.50
  6. Step 6: Final answer
    x = 145.24

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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.