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Finding the Fourth Proportional to 162.80, 243.75 and 81.66

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Solution

The fourth proportional to 162.80, 243.75 and 81.66 is: 122.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.80 : 243.75 = 81.66 : x
  2. Step 2: Convert to fraction form
    162.80/243.75 = 81.66/x
  3. Step 3: Cross multiply
    162.80x = 243.75 × 81.66
  4. Step 4: Simplify right side
    162.80x = 19,904.63
  5. Step 5: Solve for x
    x = 19,904.63/162.80
  6. Step 6: Final answer
    x = 122.26

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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.