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Finding the Fourth Proportional to 154.71, 231.91 and 63.48

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Solution

The fourth proportional to 154.71, 231.91 and 63.48 is: 95.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.71 : 231.91 = 63.48 : x
  2. Step 2: Convert to fraction form
    154.71/231.91 = 63.48/x
  3. Step 3: Cross multiply
    154.71x = 231.91 × 63.48
  4. Step 4: Simplify right side
    154.71x = 14,722.71
  5. Step 5: Solve for x
    x = 14,722.71/154.71
  6. Step 6: Final answer
    x = 95.16

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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.