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Finding the Fourth Proportional to 72.67, 100.20 and 46.75

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Solution

The fourth proportional to 72.67, 100.20 and 46.75 is: 64.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.67 : 100.20 = 46.75 : x
  2. Step 2: Convert to fraction form
    72.67/100.20 = 46.75/x
  3. Step 3: Cross multiply
    72.67x = 100.20 × 46.75
  4. Step 4: Simplify right side
    72.67x = 4,684.35
  5. Step 5: Solve for x
    x = 4,684.35/72.67
  6. Step 6: Final answer
    x = 64.46

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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.