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Finding the Fourth Proportional to 154.29, 231.83 and 116.01

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Solution

The fourth proportional to 154.29, 231.83 and 116.01 is: 174.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.29 : 231.83 = 116.01 : x
  2. Step 2: Convert to fraction form
    154.29/231.83 = 116.01/x
  3. Step 3: Cross multiply
    154.29x = 231.83 × 116.01
  4. Step 4: Simplify right side
    154.29x = 26,895.32
  5. Step 5: Solve for x
    x = 26,895.32/154.29
  6. Step 6: Final answer
    x = 174.32

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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.