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Finding the Fourth Proportional to 91.54, 137.30 and 75.47

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Solution

The fourth proportional to 91.54, 137.30 and 75.47 is: 113.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.54 : 137.30 = 75.47 : x
  2. Step 2: Convert to fraction form
    91.54/137.30 = 75.47/x
  3. Step 3: Cross multiply
    91.54x = 137.30 × 75.47
  4. Step 4: Simplify right side
    91.54x = 10,362.56
  5. Step 5: Solve for x
    x = 10,362.56/91.54
  6. Step 6: Final answer
    x = 113.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.