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Finding the Fourth Proportional to 147.46, 203.51 and 81.97

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Solution

The fourth proportional to 147.46, 203.51 and 81.97 is: 113.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.46 : 203.51 = 81.97 : x
  2. Step 2: Convert to fraction form
    147.46/203.51 = 81.97/x
  3. Step 3: Cross multiply
    147.46x = 203.51 × 81.97
  4. Step 4: Simplify right side
    147.46x = 16,681.71
  5. Step 5: Solve for x
    x = 16,681.71/147.46
  6. Step 6: Final answer
    x = 113.13

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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.