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Finding the Fourth Proportional to 162.82, 224.78 and 123.94

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Solution

The fourth proportional to 162.82, 224.78 and 123.94 is: 171.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.82 : 224.78 = 123.94 : x
  2. Step 2: Convert to fraction form
    162.82/224.78 = 123.94/x
  3. Step 3: Cross multiply
    162.82x = 224.78 × 123.94
  4. Step 4: Simplify right side
    162.82x = 27,859.23
  5. Step 5: Solve for x
    x = 27,859.23/162.82
  6. Step 6: Final answer
    x = 171.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.