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Finding the Fourth Proportional to 147.14, 202.98 and 88.82

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Solution

The fourth proportional to 147.14, 202.98 and 88.82 is: 122.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.14 : 202.98 = 88.82 : x
  2. Step 2: Convert to fraction form
    147.14/202.98 = 88.82/x
  3. Step 3: Cross multiply
    147.14x = 202.98 × 88.82
  4. Step 4: Simplify right side
    147.14x = 18,028.68
  5. Step 5: Solve for x
    x = 18,028.68/147.14
  6. Step 6: Final answer
    x = 122.53

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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.