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Finding the Fourth Proportional to 154.64, 231.84 and 86.10

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Solution

The fourth proportional to 154.64, 231.84 and 86.10 is: 129.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.64 : 231.84 = 86.10 : x
  2. Step 2: Convert to fraction form
    154.64/231.84 = 86.10/x
  3. Step 3: Cross multiply
    154.64x = 231.84 × 86.10
  4. Step 4: Simplify right side
    154.64x = 19,961.42
  5. Step 5: Solve for x
    x = 19,961.42/154.64
  6. Step 6: Final answer
    x = 129.09

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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.