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Finding the Fourth Proportional to 144.02, 198.54 and 88.72

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Solution

The fourth proportional to 144.02, 198.54 and 88.72 is: 122.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.02 : 198.54 = 88.72 : x
  2. Step 2: Convert to fraction form
    144.02/198.54 = 88.72/x
  3. Step 3: Cross multiply
    144.02x = 198.54 × 88.72
  4. Step 4: Simplify right side
    144.02x = 17,613.97
  5. Step 5: Solve for x
    x = 17,613.97/144.02
  6. Step 6: Final answer
    x = 122.30

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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.