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Finding the Fourth Proportional to 92.34, 126.63 and 87.66

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Solution

The fourth proportional to 92.34, 126.63 and 87.66 is: 120.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.34 : 126.63 = 87.66 : x
  2. Step 2: Convert to fraction form
    92.34/126.63 = 87.66/x
  3. Step 3: Cross multiply
    92.34x = 126.63 × 87.66
  4. Step 4: Simplify right side
    92.34x = 11,100.39
  5. Step 5: Solve for x
    x = 11,100.39/92.34
  6. Step 6: Final answer
    x = 120.21

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.