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Finding the Fourth Proportional to 91.34, 126.02 and 63.80

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Solution

The fourth proportional to 91.34, 126.02 and 63.80 is: 88.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.34 : 126.02 = 63.80 : x
  2. Step 2: Convert to fraction form
    91.34/126.02 = 63.80/x
  3. Step 3: Cross multiply
    91.34x = 126.02 × 63.80
  4. Step 4: Simplify right side
    91.34x = 8,040.08
  5. Step 5: Solve for x
    x = 8,040.08/91.34
  6. Step 6: Final answer
    x = 88.02

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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.