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Finding the Fourth Proportional to 102.28, 141.20 and 73.24

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Solution

The fourth proportional to 102.28, 141.20 and 73.24 is: 101.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.28 : 141.20 = 73.24 : x
  2. Step 2: Convert to fraction form
    102.28/141.20 = 73.24/x
  3. Step 3: Cross multiply
    102.28x = 141.20 × 73.24
  4. Step 4: Simplify right side
    102.28x = 10,341.49
  5. Step 5: Solve for x
    x = 10,341.49/102.28
  6. Step 6: Final answer
    x = 101.11

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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.