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Finding the Fourth Proportional to 155.12, 232.52 and 73.86

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Solution

The fourth proportional to 155.12, 232.52 and 73.86 is: 110.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.12 : 232.52 = 73.86 : x
  2. Step 2: Convert to fraction form
    155.12/232.52 = 73.86/x
  3. Step 3: Cross multiply
    155.12x = 232.52 × 73.86
  4. Step 4: Simplify right side
    155.12x = 17,174.41
  5. Step 5: Solve for x
    x = 17,174.41/155.12
  6. Step 6: Final answer
    x = 110.72

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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.