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Finding the Fourth Proportional to 111.46, 153.62 and 95.88

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Solution

The fourth proportional to 111.46, 153.62 and 95.88 is: 132.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.46 : 153.62 = 95.88 : x
  2. Step 2: Convert to fraction form
    111.46/153.62 = 95.88/x
  3. Step 3: Cross multiply
    111.46x = 153.62 × 95.88
  4. Step 4: Simplify right side
    111.46x = 14,729.09
  5. Step 5: Solve for x
    x = 14,729.09/111.46
  6. Step 6: Final answer
    x = 132.15

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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.