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Finding the Fourth Proportional to 155.62, 232.97 and 114.77

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Solution

The fourth proportional to 155.62, 232.97 and 114.77 is: 171.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.62 : 232.97 = 114.77 : x
  2. Step 2: Convert to fraction form
    155.62/232.97 = 114.77/x
  3. Step 3: Cross multiply
    155.62x = 232.97 × 114.77
  4. Step 4: Simplify right side
    155.62x = 26,737.97
  5. Step 5: Solve for x
    x = 26,737.97/155.62
  6. Step 6: Final answer
    x = 171.82

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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.