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Finding the Fourth Proportional to 72.84, 108.60 and 66.81

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Solution

The fourth proportional to 72.84, 108.60 and 66.81 is: 99.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.84 : 108.60 = 66.81 : x
  2. Step 2: Convert to fraction form
    72.84/108.60 = 66.81/x
  3. Step 3: Cross multiply
    72.84x = 108.60 × 66.81
  4. Step 4: Simplify right side
    72.84x = 7,255.57
  5. Step 5: Solve for x
    x = 7,255.57/72.84
  6. Step 6: Final answer
    x = 99.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.