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Finding the Fourth Proportional to 154.63, 232.10 and 63.38

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Solution

The fourth proportional to 154.63, 232.10 and 63.38 is: 95.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.63 : 232.10 = 63.38 : x
  2. Step 2: Convert to fraction form
    154.63/232.10 = 63.38/x
  3. Step 3: Cross multiply
    154.63x = 232.10 × 63.38
  4. Step 4: Simplify right side
    154.63x = 14,709.02
  5. Step 5: Solve for x
    x = 14,709.02/154.63
  6. Step 6: Final answer
    x = 95.13

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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.