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Finding the Fourth Proportional to 102.98, 142.01 and 88.27

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Solution

The fourth proportional to 102.98, 142.01 and 88.27 is: 121.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.98 : 142.01 = 88.27 : x
  2. Step 2: Convert to fraction form
    102.98/142.01 = 88.27/x
  3. Step 3: Cross multiply
    102.98x = 142.01 × 88.27
  4. Step 4: Simplify right side
    102.98x = 12,535.22
  5. Step 5: Solve for x
    x = 12,535.22/102.98
  6. Step 6: Final answer
    x = 121.72

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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.