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Finding the Fourth Proportional to 98, 147.08 and 70.95

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Solution

The fourth proportional to 98, 147.08 and 70.95 is: 106.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    98 : 147.08 = 70.95 : x
  2. Step 2: Convert to fraction form
    98/147.08 = 70.95/x
  3. Step 3: Cross multiply
    98x = 147.08 × 70.95
  4. Step 4: Simplify right side
    98x = 10,435.33
  5. Step 5: Solve for x
    x = 10,435.33/98
  6. Step 6: Final answer
    x = 106.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.