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Finding the Fourth Proportional to 108.54, 148.99 and 102.47

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Solution

The fourth proportional to 108.54, 148.99 and 102.47 is: 140.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.54 : 148.99 = 102.47 : x
  2. Step 2: Convert to fraction form
    108.54/148.99 = 102.47/x
  3. Step 3: Cross multiply
    108.54x = 148.99 × 102.47
  4. Step 4: Simplify right side
    108.54x = 15,266.20
  5. Step 5: Solve for x
    x = 15,266.20/108.54
  6. Step 6: Final answer
    x = 140.65

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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.