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Finding the Fourth Proportional to 73.56, 102.32 and 72.24

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Solution

The fourth proportional to 73.56, 102.32 and 72.24 is: 100.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.56 : 102.32 = 72.24 : x
  2. Step 2: Convert to fraction form
    73.56/102.32 = 72.24/x
  3. Step 3: Cross multiply
    73.56x = 102.32 × 72.24
  4. Step 4: Simplify right side
    73.56x = 7,391.60
  5. Step 5: Solve for x
    x = 7,391.60/73.56
  6. Step 6: Final answer
    x = 100.48

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.