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Finding the Fourth Proportional to 91.36, 126.08 and 52.02

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Solution

The fourth proportional to 91.36, 126.08 and 52.02 is: 71.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.36 : 126.08 = 52.02 : x
  2. Step 2: Convert to fraction form
    91.36/126.08 = 52.02/x
  3. Step 3: Cross multiply
    91.36x = 126.08 × 52.02
  4. Step 4: Simplify right side
    91.36x = 6,558.42
  5. Step 5: Solve for x
    x = 6,558.42/91.36
  6. Step 6: Final answer
    x = 71.79

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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.