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Finding the Fourth Proportional to 98.47, 147.57 and 68.05

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Solution

The fourth proportional to 98.47, 147.57 and 68.05 is: 101.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.47 : 147.57 = 68.05 : x
  2. Step 2: Convert to fraction form
    98.47/147.57 = 68.05/x
  3. Step 3: Cross multiply
    98.47x = 147.57 × 68.05
  4. Step 4: Simplify right side
    98.47x = 10,042.14
  5. Step 5: Solve for x
    x = 10,042.14/98.47
  6. Step 6: Final answer
    x = 101.98

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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.