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Finding the Fourth Proportional to 111.57, 153.45 and 95.16

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Solution

The fourth proportional to 111.57, 153.45 and 95.16 is: 130.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.57 : 153.45 = 95.16 : x
  2. Step 2: Convert to fraction form
    111.57/153.45 = 95.16/x
  3. Step 3: Cross multiply
    111.57x = 153.45 × 95.16
  4. Step 4: Simplify right side
    111.57x = 14,602.30
  5. Step 5: Solve for x
    x = 14,602.30/111.57
  6. Step 6: Final answer
    x = 130.88

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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.