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Finding the Fourth Proportional to 95.85, 132.30 and 75.33

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Solution

The fourth proportional to 95.85, 132.30 and 75.33 is: 103.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.85 : 132.30 = 75.33 : x
  2. Step 2: Convert to fraction form
    95.85/132.30 = 75.33/x
  3. Step 3: Cross multiply
    95.85x = 132.30 × 75.33
  4. Step 4: Simplify right side
    95.85x = 9,966.16
  5. Step 5: Solve for x
    x = 9,966.16/95.85
  6. Step 6: Final answer
    x = 103.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.