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Finding the Fourth Proportional to 153.54, 230.64 and 95.91

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Solution

The fourth proportional to 153.54, 230.64 and 95.91 is: 144.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.54 : 230.64 = 95.91 : x
  2. Step 2: Convert to fraction form
    153.54/230.64 = 95.91/x
  3. Step 3: Cross multiply
    153.54x = 230.64 × 95.91
  4. Step 4: Simplify right side
    153.54x = 22,120.68
  5. Step 5: Solve for x
    x = 22,120.68/153.54
  6. Step 6: Final answer
    x = 144.07

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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.