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Finding the Fourth Proportional to 91.54, 126.22 and 70.81

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Solution

The fourth proportional to 91.54, 126.22 and 70.81 is: 97.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.54 : 126.22 = 70.81 : x
  2. Step 2: Convert to fraction form
    91.54/126.22 = 70.81/x
  3. Step 3: Cross multiply
    91.54x = 126.22 × 70.81
  4. Step 4: Simplify right side
    91.54x = 8,937.64
  5. Step 5: Solve for x
    x = 8,937.64/91.54
  6. Step 6: Final answer
    x = 97.64

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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.