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Finding the Fourth Proportional to 84.58, 116.70 and 80.32

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Solution

The fourth proportional to 84.58, 116.70 and 80.32 is: 110.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.58 : 116.70 = 80.32 : x
  2. Step 2: Convert to fraction form
    84.58/116.70 = 80.32/x
  3. Step 3: Cross multiply
    84.58x = 116.70 × 80.32
  4. Step 4: Simplify right side
    84.58x = 9,373.34
  5. Step 5: Solve for x
    x = 9,373.34/84.58
  6. Step 6: Final answer
    x = 110.82

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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.