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Finding the Fourth Proportional to 72.50, 100.10 and 46.67

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Solution

The fourth proportional to 72.50, 100.10 and 46.67 is: 64.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.50 : 100.10 = 46.67 : x
  2. Step 2: Convert to fraction form
    72.50/100.10 = 46.67/x
  3. Step 3: Cross multiply
    72.50x = 100.10 × 46.67
  4. Step 4: Simplify right side
    72.50x = 4,671.43
  5. Step 5: Solve for x
    x = 4,671.43/72.50
  6. Step 6: Final answer
    x = 64.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.