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Finding the Fourth Proportional to 84.68, 116.52 and 75.76

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Solution

The fourth proportional to 84.68, 116.52 and 75.76 is: 104.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.68 : 116.52 = 75.76 : x
  2. Step 2: Convert to fraction form
    84.68/116.52 = 75.76/x
  3. Step 3: Cross multiply
    84.68x = 116.52 × 75.76
  4. Step 4: Simplify right side
    84.68x = 8,827.56
  5. Step 5: Solve for x
    x = 8,827.56/84.68
  6. Step 6: Final answer
    x = 104.25

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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.