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Finding the Fourth Proportional to 162.63, 224.33 and 102.78

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Solution

The fourth proportional to 162.63, 224.33 and 102.78 is: 141.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.63 : 224.33 = 102.78 : x
  2. Step 2: Convert to fraction form
    162.63/224.33 = 102.78/x
  3. Step 3: Cross multiply
    162.63x = 224.33 × 102.78
  4. Step 4: Simplify right side
    162.63x = 23,056.12
  5. Step 5: Solve for x
    x = 23,056.12/162.63
  6. Step 6: Final answer
    x = 141.77

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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.