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Finding the Fourth Proportional to 95.75, 142.53 and 91.33

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Solution

The fourth proportional to 95.75, 142.53 and 91.33 is: 135.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.75 : 142.53 = 91.33 : x
  2. Step 2: Convert to fraction form
    95.75/142.53 = 91.33/x
  3. Step 3: Cross multiply
    95.75x = 142.53 × 91.33
  4. Step 4: Simplify right side
    95.75x = 13,017.26
  5. Step 5: Solve for x
    x = 13,017.26/95.75
  6. Step 6: Final answer
    x = 135.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.