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Finding the Fourth Proportional to 154.47, 231.65 and 51.74

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Solution

The fourth proportional to 154.47, 231.65 and 51.74 is: 77.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.47 : 231.65 = 51.74 : x
  2. Step 2: Convert to fraction form
    154.47/231.65 = 51.74/x
  3. Step 3: Cross multiply
    154.47x = 231.65 × 51.74
  4. Step 4: Simplify right side
    154.47x = 11,985.57
  5. Step 5: Solve for x
    x = 11,985.57/154.47
  6. Step 6: Final answer
    x = 77.59

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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.