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Finding the Fourth Proportional to 154.58, 213.05 and 110.32

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Solution

The fourth proportional to 154.58, 213.05 and 110.32 is: 152.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.58 : 213.05 = 110.32 : x
  2. Step 2: Convert to fraction form
    154.58/213.05 = 110.32/x
  3. Step 3: Cross multiply
    154.58x = 213.05 × 110.32
  4. Step 4: Simplify right side
    154.58x = 23,503.42
  5. Step 5: Solve for x
    x = 23,503.42/154.58
  6. Step 6: Final answer
    x = 152.05

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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.