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Finding the Fourth Proportional to 155.65, 214.23 and 114.14

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Solution

The fourth proportional to 155.65, 214.23 and 114.14 is: 157.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.65 : 214.23 = 114.14 : x
  2. Step 2: Convert to fraction form
    155.65/214.23 = 114.14/x
  3. Step 3: Cross multiply
    155.65x = 214.23 × 114.14
  4. Step 4: Simplify right side
    155.65x = 24,450.57
  5. Step 5: Solve for x
    x = 24,450.57/155.65
  6. Step 6: Final answer
    x = 157.09

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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.