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Finding the Fourth Proportional to 98.78, 135.98 and 85.60

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Solution

The fourth proportional to 98.78, 135.98 and 85.60 is: 117.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.78 : 135.98 = 85.60 : x
  2. Step 2: Convert to fraction form
    98.78/135.98 = 85.60/x
  3. Step 3: Cross multiply
    98.78x = 135.98 × 85.60
  4. Step 4: Simplify right side
    98.78x = 11,639.89
  5. Step 5: Solve for x
    x = 11,639.89/98.78
  6. Step 6: Final answer
    x = 117.84

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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.