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Finding the Fourth Proportional to 162.93, 244.61 and 120.10

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Solution

The fourth proportional to 162.93, 244.61 and 120.10 is: 180.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.93 : 244.61 = 120.10 : x
  2. Step 2: Convert to fraction form
    162.93/244.61 = 120.10/x
  3. Step 3: Cross multiply
    162.93x = 244.61 × 120.10
  4. Step 4: Simplify right side
    162.93x = 29,377.66
  5. Step 5: Solve for x
    x = 29,377.66/162.93
  6. Step 6: Final answer
    x = 180.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.