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Finding the Fourth Proportional to 95.59, 132.02 and 85.23

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Solution

The fourth proportional to 95.59, 132.02 and 85.23 is: 117.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.59 : 132.02 = 85.23 : x
  2. Step 2: Convert to fraction form
    95.59/132.02 = 85.23/x
  3. Step 3: Cross multiply
    95.59x = 132.02 × 85.23
  4. Step 4: Simplify right side
    95.59x = 11,252.28
  5. Step 5: Solve for x
    x = 11,252.28/95.59
  6. Step 6: Final answer
    x = 117.72

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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.