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Finding the Fourth Proportional to 91.45, 126.14 and 52.64

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Solution

The fourth proportional to 91.45, 126.14 and 52.64 is: 72.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.45 : 126.14 = 52.64 : x
  2. Step 2: Convert to fraction form
    91.45/126.14 = 52.64/x
  3. Step 3: Cross multiply
    91.45x = 126.14 × 52.64
  4. Step 4: Simplify right side
    91.45x = 6,640.01
  5. Step 5: Solve for x
    x = 6,640.01/91.45
  6. Step 6: Final answer
    x = 72.61

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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.