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Finding the Fourth Proportional to 154.05, 230.64 and 93.16

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Solution

The fourth proportional to 154.05, 230.64 and 93.16 is: 139.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.05 : 230.64 = 93.16 : x
  2. Step 2: Convert to fraction form
    154.05/230.64 = 93.16/x
  3. Step 3: Cross multiply
    154.05x = 230.64 × 93.16
  4. Step 4: Simplify right side
    154.05x = 21,486.42
  5. Step 5: Solve for x
    x = 21,486.42/154.05
  6. Step 6: Final answer
    x = 139.48

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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.