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Finding the Fourth Proportional to 98.61, 135.02 and 98.20

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Solution

The fourth proportional to 98.61, 135.02 and 98.20 is: 134.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.61 : 135.02 = 98.20 : x
  2. Step 2: Convert to fraction form
    98.61/135.02 = 98.20/x
  3. Step 3: Cross multiply
    98.61x = 135.02 × 98.20
  4. Step 4: Simplify right side
    98.61x = 13,258.96
  5. Step 5: Solve for x
    x = 13,258.96/98.61
  6. Step 6: Final answer
    x = 134.46

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.