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Finding the Fourth Proportional to 91.67, 126.45 and 56.70

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Solution

The fourth proportional to 91.67, 126.45 and 56.70 is: 78.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.67 : 126.45 = 56.70 : x
  2. Step 2: Convert to fraction form
    91.67/126.45 = 56.70/x
  3. Step 3: Cross multiply
    91.67x = 126.45 × 56.70
  4. Step 4: Simplify right side
    91.67x = 7,169.72
  5. Step 5: Solve for x
    x = 7,169.72/91.67
  6. Step 6: Final answer
    x = 78.22

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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.