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Finding the Fourth Proportional to 147.45, 203.50 and 81.98

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Solution

The fourth proportional to 147.45, 203.50 and 81.98 is: 113.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.45 : 203.50 = 81.98 : x
  2. Step 2: Convert to fraction form
    147.45/203.50 = 81.98/x
  3. Step 3: Cross multiply
    147.45x = 203.50 × 81.98
  4. Step 4: Simplify right side
    147.45x = 16,682.78
  5. Step 5: Solve for x
    x = 16,682.78/147.45
  6. Step 6: Final answer
    x = 113.14

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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.