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Finding the Fourth Proportional to 155.14, 232.39 and 73.90

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Solution

The fourth proportional to 155.14, 232.39 and 73.90 is: 110.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.14 : 232.39 = 73.90 : x
  2. Step 2: Convert to fraction form
    155.14/232.39 = 73.90/x
  3. Step 3: Cross multiply
    155.14x = 232.39 × 73.90
  4. Step 4: Simplify right side
    155.14x = 17,174.02
  5. Step 5: Solve for x
    x = 17,174.02/155.14
  6. Step 6: Final answer
    x = 110.70

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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.