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Finding the Fourth Proportional to 154.42, 231.51 and 51.64

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Solution

The fourth proportional to 154.42, 231.51 and 51.64 is: 77.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.42 : 231.51 = 51.64 : x
  2. Step 2: Convert to fraction form
    154.42/231.51 = 51.64/x
  3. Step 3: Cross multiply
    154.42x = 231.51 × 51.64
  4. Step 4: Simplify right side
    154.42x = 11,955.18
  5. Step 5: Solve for x
    x = 11,955.18/154.42
  6. Step 6: Final answer
    x = 77.42

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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.