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Finding the Fourth Proportional to 91.78, 126.54 and 75.37

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Solution

The fourth proportional to 91.78, 126.54 and 75.37 is: 103.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.78 : 126.54 = 75.37 : x
  2. Step 2: Convert to fraction form
    91.78/126.54 = 75.37/x
  3. Step 3: Cross multiply
    91.78x = 126.54 × 75.37
  4. Step 4: Simplify right side
    91.78x = 9,537.32
  5. Step 5: Solve for x
    x = 9,537.32/91.78
  6. Step 6: Final answer
    x = 103.92

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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.