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Finding the Fourth Proportional to 102.71, 154.96 and 97.65

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Solution

The fourth proportional to 102.71, 154.96 and 97.65 is: 147.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.71 : 154.96 = 97.65 : x
  2. Step 2: Convert to fraction form
    102.71/154.96 = 97.65/x
  3. Step 3: Cross multiply
    102.71x = 154.96 × 97.65
  4. Step 4: Simplify right side
    102.71x = 15,131.84
  5. Step 5: Solve for x
    x = 15,131.84/102.71
  6. Step 6: Final answer
    x = 147.33

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.