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Finding the Fourth Proportional to 143.76, 198.40 and 88.52

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Solution

The fourth proportional to 143.76, 198.40 and 88.52 is: 122.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.76 : 198.40 = 88.52 : x
  2. Step 2: Convert to fraction form
    143.76/198.40 = 88.52/x
  3. Step 3: Cross multiply
    143.76x = 198.40 × 88.52
  4. Step 4: Simplify right side
    143.76x = 17,562.37
  5. Step 5: Solve for x
    x = 17,562.37/143.76
  6. Step 6: Final answer
    x = 122.16

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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.