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Finding the Fourth Proportional to 72.34, 108.32 and 66.92

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Solution

The fourth proportional to 72.34, 108.32 and 66.92 is: 100.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.34 : 108.32 = 66.92 : x
  2. Step 2: Convert to fraction form
    72.34/108.32 = 66.92/x
  3. Step 3: Cross multiply
    72.34x = 108.32 × 66.92
  4. Step 4: Simplify right side
    72.34x = 7,247.90
  5. Step 5: Solve for x
    x = 7,247.90/72.34
  6. Step 6: Final answer
    x = 100.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.