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Finding the Fourth Proportional to 155.17, 232.85 and 68.51

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Solution

The fourth proportional to 155.17, 232.85 and 68.51 is: 102.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.17 : 232.85 = 68.51 : x
  2. Step 2: Convert to fraction form
    155.17/232.85 = 68.51/x
  3. Step 3: Cross multiply
    155.17x = 232.85 × 68.51
  4. Step 4: Simplify right side
    155.17x = 15,952.00
  5. Step 5: Solve for x
    x = 15,952.00/155.17
  6. Step 6: Final answer
    x = 102.80

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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.