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Finding the Fourth Proportional to 102.94, 154.39 and 62.33

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Solution

The fourth proportional to 102.94, 154.39 and 62.33 is: 93.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.94 : 154.39 = 62.33 : x
  2. Step 2: Convert to fraction form
    102.94/154.39 = 62.33/x
  3. Step 3: Cross multiply
    102.94x = 154.39 × 62.33
  4. Step 4: Simplify right side
    102.94x = 9,623.13
  5. Step 5: Solve for x
    x = 9,623.13/102.94
  6. Step 6: Final answer
    x = 93.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.