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Finding the Fourth Proportional to 111.17, 152.83 and 95.57

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Solution

The fourth proportional to 111.17, 152.83 and 95.57 is: 131.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.17 : 152.83 = 95.57 : x
  2. Step 2: Convert to fraction form
    111.17/152.83 = 95.57/x
  3. Step 3: Cross multiply
    111.17x = 152.83 × 95.57
  4. Step 4: Simplify right side
    111.17x = 14,605.96
  5. Step 5: Solve for x
    x = 14,605.96/111.17
  6. Step 6: Final answer
    x = 131.38

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.