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Finding the Fourth Proportional to 91.53, 126.32 and 50.09

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Solution

The fourth proportional to 91.53, 126.32 and 50.09 is: 69.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.53 : 126.32 = 50.09 : x
  2. Step 2: Convert to fraction form
    91.53/126.32 = 50.09/x
  3. Step 3: Cross multiply
    91.53x = 126.32 × 50.09
  4. Step 4: Simplify right side
    91.53x = 6,326.49
  5. Step 5: Solve for x
    x = 6,326.49/91.53
  6. Step 6: Final answer
    x = 69.12

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Why These Related Problems?

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