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Finding the Fourth Proportional to 98.42, 147.83 and 96.80

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Solution

The fourth proportional to 98.42, 147.83 and 96.80 is: 145.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.42 : 147.83 = 96.80 : x
  2. Step 2: Convert to fraction form
    98.42/147.83 = 96.80/x
  3. Step 3: Cross multiply
    98.42x = 147.83 × 96.80
  4. Step 4: Simplify right side
    98.42x = 14,308.72
  5. Step 5: Solve for x
    x = 14,308.72/98.42
  6. Step 6: Final answer
    x = 145.39

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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.