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Finding the Fourth Proportional to 84.16, 116.21 and 65.79

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Solution

The fourth proportional to 84.16, 116.21 and 65.79 is: 90.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.16 : 116.21 = 65.79 : x
  2. Step 2: Convert to fraction form
    84.16/116.21 = 65.79/x
  3. Step 3: Cross multiply
    84.16x = 116.21 × 65.79
  4. Step 4: Simplify right side
    84.16x = 7,645.46
  5. Step 5: Solve for x
    x = 7,645.46/84.16
  6. Step 6: Final answer
    x = 90.84

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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.