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Finding the Fourth Proportional to 155.19, 232.85 and 68.48

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Solution

The fourth proportional to 155.19, 232.85 and 68.48 is: 102.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.19 : 232.85 = 68.48 : x
  2. Step 2: Convert to fraction form
    155.19/232.85 = 68.48/x
  3. Step 3: Cross multiply
    155.19x = 232.85 × 68.48
  4. Step 4: Simplify right side
    155.19x = 15,944.06
  5. Step 5: Solve for x
    x = 15,944.06/155.19
  6. Step 6: Final answer
    x = 102.74

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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.