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Finding the Fourth Proportional to 162.84, 224.75 and 103.81

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Solution

The fourth proportional to 162.84, 224.75 and 103.81 is: 143.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.84 : 224.75 = 103.81 : x
  2. Step 2: Convert to fraction form
    162.84/224.75 = 103.81/x
  3. Step 3: Cross multiply
    162.84x = 224.75 × 103.81
  4. Step 4: Simplify right side
    162.84x = 23,332.45
  5. Step 5: Solve for x
    x = 23,332.45/162.84
  6. Step 6: Final answer
    x = 143.28

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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.