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Finding the Fourth Proportional to 91.45, 136.63 and 75.25

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Solution

The fourth proportional to 91.45, 136.63 and 75.25 is: 112.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.45 : 136.63 = 75.25 : x
  2. Step 2: Convert to fraction form
    91.45/136.63 = 75.25/x
  3. Step 3: Cross multiply
    91.45x = 136.63 × 75.25
  4. Step 4: Simplify right side
    91.45x = 10,281.41
  5. Step 5: Solve for x
    x = 10,281.41/91.45
  6. Step 6: Final answer
    x = 112.43

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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.