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Finding the Fourth Proportional to 154.40, 231.59 and 77.28

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Solution

The fourth proportional to 154.40, 231.59 and 77.28 is: 115.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.40 : 231.59 = 77.28 : x
  2. Step 2: Convert to fraction form
    154.40/231.59 = 77.28/x
  3. Step 3: Cross multiply
    154.40x = 231.59 × 77.28
  4. Step 4: Simplify right side
    154.40x = 17,897.47
  5. Step 5: Solve for x
    x = 17,897.47/154.40
  6. Step 6: Final answer
    x = 115.92

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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.