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Finding the Fourth Proportional to 91.48, 126.22 and 54.65

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Solution

The fourth proportional to 91.48, 126.22 and 54.65 is: 75.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.48 : 126.22 = 54.65 : x
  2. Step 2: Convert to fraction form
    91.48/126.22 = 54.65/x
  3. Step 3: Cross multiply
    91.48x = 126.22 × 54.65
  4. Step 4: Simplify right side
    91.48x = 6,897.92
  5. Step 5: Solve for x
    x = 6,897.92/91.48
  6. Step 6: Final answer
    x = 75.40

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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.