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Finding the Fourth Proportional to 91.45, 126.24 and 70.82

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Solution

The fourth proportional to 91.45, 126.24 and 70.82 is: 97.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.45 : 126.24 = 70.82 : x
  2. Step 2: Convert to fraction form
    91.45/126.24 = 70.82/x
  3. Step 3: Cross multiply
    91.45x = 126.24 × 70.82
  4. Step 4: Simplify right side
    91.45x = 8,941.00
  5. Step 5: Solve for x
    x = 8,941.00/91.45
  6. Step 6: Final answer
    x = 97.77

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