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Finding the Fourth Proportional to 162.50, 223.70 and 120.92

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Solution

The fourth proportional to 162.50, 223.70 and 120.92 is: 166.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.50 : 223.70 = 120.92 : x
  2. Step 2: Convert to fraction form
    162.50/223.70 = 120.92/x
  3. Step 3: Cross multiply
    162.50x = 223.70 × 120.92
  4. Step 4: Simplify right side
    162.50x = 27,048.08
  5. Step 5: Solve for x
    x = 27,048.08/162.50
  6. Step 6: Final answer
    x = 166.45

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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.