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Finding the Fourth Proportional to 84.60, 116.64 and 60.04

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Solution

The fourth proportional to 84.60, 116.64 and 60.04 is: 82.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.60 : 116.64 = 60.04 : x
  2. Step 2: Convert to fraction form
    84.60/116.64 = 60.04/x
  3. Step 3: Cross multiply
    84.60x = 116.64 × 60.04
  4. Step 4: Simplify right side
    84.60x = 7,003.07
  5. Step 5: Solve for x
    x = 7,003.07/84.60
  6. Step 6: Final answer
    x = 82.78

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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.