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Finding the Fourth Proportional to 162.77, 224.62 and 89.09

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Solution

The fourth proportional to 162.77, 224.62 and 89.09 is: 122.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.77 : 224.62 = 89.09 : x
  2. Step 2: Convert to fraction form
    162.77/224.62 = 89.09/x
  3. Step 3: Cross multiply
    162.77x = 224.62 × 89.09
  4. Step 4: Simplify right side
    162.77x = 20,011.36
  5. Step 5: Solve for x
    x = 20,011.36/162.77
  6. Step 6: Final answer
    x = 122.94

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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.