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Finding the Fourth Proportional to 162.90, 224.81 and 89.22

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Solution

The fourth proportional to 162.90, 224.81 and 89.22 is: 123.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.90 : 224.81 = 89.22 : x
  2. Step 2: Convert to fraction form
    162.90/224.81 = 89.22/x
  3. Step 3: Cross multiply
    162.90x = 224.81 × 89.22
  4. Step 4: Simplify right side
    162.90x = 20,057.10
  5. Step 5: Solve for x
    x = 20,057.10/162.90
  6. Step 6: Final answer
    x = 123.13

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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.