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Finding the Fourth Proportional to 98.16, 135.84 and 85.20

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Solution

The fourth proportional to 98.16, 135.84 and 85.20 is: 117.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.16 : 135.84 = 85.20 : x
  2. Step 2: Convert to fraction form
    98.16/135.84 = 85.20/x
  3. Step 3: Cross multiply
    98.16x = 135.84 × 85.20
  4. Step 4: Simplify right side
    98.16x = 11,573.57
  5. Step 5: Solve for x
    x = 11,573.57/98.16
  6. Step 6: Final answer
    x = 117.91

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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.