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Finding the Fourth Proportional to 108.20, 148.98 and 102.80

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Solution

The fourth proportional to 108.20, 148.98 and 102.80 is: 141.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.20 : 148.98 = 102.80 : x
  2. Step 2: Convert to fraction form
    108.20/148.98 = 102.80/x
  3. Step 3: Cross multiply
    108.20x = 148.98 × 102.80
  4. Step 4: Simplify right side
    108.20x = 15,315.14
  5. Step 5: Solve for x
    x = 15,315.14/108.20
  6. Step 6: Final answer
    x = 141.54

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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.