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Finding the Fourth Proportional to 84.56, 116.70 and 69.98

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Solution

The fourth proportional to 84.56, 116.70 and 69.98 is: 96.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.56 : 116.70 = 69.98 : x
  2. Step 2: Convert to fraction form
    84.56/116.70 = 69.98/x
  3. Step 3: Cross multiply
    84.56x = 116.70 × 69.98
  4. Step 4: Simplify right side
    84.56x = 8,166.67
  5. Step 5: Solve for x
    x = 8,166.67/84.56
  6. Step 6: Final answer
    x = 96.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.