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Finding the Fourth Proportional to 155.12, 214.07 and 92.93

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Solution

The fourth proportional to 155.12, 214.07 and 92.93 is: 128.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.12 : 214.07 = 92.93 : x
  2. Step 2: Convert to fraction form
    155.12/214.07 = 92.93/x
  3. Step 3: Cross multiply
    155.12x = 214.07 × 92.93
  4. Step 4: Simplify right side
    155.12x = 19,891.99
  5. Step 5: Solve for x
    x = 19,891.99/155.12
  6. Step 6: Final answer
    x = 128.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.