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Finding the Fourth Proportional to 102.97, 154.77 and 67.15

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Solution

The fourth proportional to 102.97, 154.77 and 67.15 is: 100.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.97 : 154.77 = 67.15 : x
  2. Step 2: Convert to fraction form
    102.97/154.77 = 67.15/x
  3. Step 3: Cross multiply
    102.97x = 154.77 × 67.15
  4. Step 4: Simplify right side
    102.97x = 10,392.81
  5. Step 5: Solve for x
    x = 10,392.81/102.97
  6. Step 6: Final answer
    x = 100.93

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Why These Related Problems?

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