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Finding the Fourth Proportional to 162.80, 224.69 and 96.40

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Solution

The fourth proportional to 162.80, 224.69 and 96.40 is: 133.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.80 : 224.69 = 96.40 : x
  2. Step 2: Convert to fraction form
    162.80/224.69 = 96.40/x
  3. Step 3: Cross multiply
    162.80x = 224.69 × 96.40
  4. Step 4: Simplify right side
    162.80x = 21,660.12
  5. Step 5: Solve for x
    x = 21,660.12/162.80
  6. Step 6: Final answer
    x = 133.05

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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.