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Finding the Fourth Proportional to 162.90, 244.10 and 81.63

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Solution

The fourth proportional to 162.90, 244.10 and 81.63 is: 122.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.90 : 244.10 = 81.63 : x
  2. Step 2: Convert to fraction form
    162.90/244.10 = 81.63/x
  3. Step 3: Cross multiply
    162.90x = 244.10 × 81.63
  4. Step 4: Simplify right side
    162.90x = 19,925.47
  5. Step 5: Solve for x
    x = 19,925.47/162.90
  6. Step 6: Final answer
    x = 122.32

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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.