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Finding the Fourth Proportional to 76.60, 105.82 and 70.84

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Solution

The fourth proportional to 76.60, 105.82 and 70.84 is: 97.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.60 : 105.82 = 70.84 : x
  2. Step 2: Convert to fraction form
    76.60/105.82 = 70.84/x
  3. Step 3: Cross multiply
    76.60x = 105.82 × 70.84
  4. Step 4: Simplify right side
    76.60x = 7,496.29
  5. Step 5: Solve for x
    x = 7,496.29/76.60
  6. Step 6: Final answer
    x = 97.86

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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.