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Finding the Fourth Proportional to 154.98, 213.72 and 110.76

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Solution

The fourth proportional to 154.98, 213.72 and 110.76 is: 152.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.98 : 213.72 = 110.76 : x
  2. Step 2: Convert to fraction form
    154.98/213.72 = 110.76/x
  3. Step 3: Cross multiply
    154.98x = 213.72 × 110.76
  4. Step 4: Simplify right side
    154.98x = 23,671.63
  5. Step 5: Solve for x
    x = 23,671.63/154.98
  6. Step 6: Final answer
    x = 152.74

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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.