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Finding the Fourth Proportional to 102.92, 154.07 and 78.63

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Solution

The fourth proportional to 102.92, 154.07 and 78.63 is: 117.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.92 : 154.07 = 78.63 : x
  2. Step 2: Convert to fraction form
    102.92/154.07 = 78.63/x
  3. Step 3: Cross multiply
    102.92x = 154.07 × 78.63
  4. Step 4: Simplify right side
    102.92x = 12,114.13
  5. Step 5: Solve for x
    x = 12,114.13/102.92
  6. Step 6: Final answer
    x = 117.71

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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.