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Finding the Fourth Proportional to 85.68, 129.06 and 69.84

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Solution

The fourth proportional to 85.68, 129.06 and 69.84 is: 105.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.68 : 129.06 = 69.84 : x
  2. Step 2: Convert to fraction form
    85.68/129.06 = 69.84/x
  3. Step 3: Cross multiply
    85.68x = 129.06 × 69.84
  4. Step 4: Simplify right side
    85.68x = 9,013.55
  5. Step 5: Solve for x
    x = 9,013.55/85.68
  6. Step 6: Final answer
    x = 105.20

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.