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Finding the Fourth Proportional to 154.10, 212.28 and 115.22

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Solution

The fourth proportional to 154.10, 212.28 and 115.22 is: 158.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.10 : 212.28 = 115.22 : x
  2. Step 2: Convert to fraction form
    154.10/212.28 = 115.22/x
  3. Step 3: Cross multiply
    154.10x = 212.28 × 115.22
  4. Step 4: Simplify right side
    154.10x = 24,458.90
  5. Step 5: Solve for x
    x = 24,458.90/154.10
  6. Step 6: Final answer
    x = 158.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.