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Finding the Fourth Proportional to 99.75, 137.08 and 95.23

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Solution

The fourth proportional to 99.75, 137.08 and 95.23 is: 130.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.75 : 137.08 = 95.23 : x
  2. Step 2: Convert to fraction form
    99.75/137.08 = 95.23/x
  3. Step 3: Cross multiply
    99.75x = 137.08 × 95.23
  4. Step 4: Simplify right side
    99.75x = 13,053.11
  5. Step 5: Solve for x
    x = 13,053.11/99.75
  6. Step 6: Final answer
    x = 130.86

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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.