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Finding the Fourth Proportional to 92.60, 127.60 and 87.72

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Solution

The fourth proportional to 92.60, 127.60 and 87.72 is: 120.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.60 : 127.60 = 87.72 : x
  2. Step 2: Convert to fraction form
    92.60/127.60 = 87.72/x
  3. Step 3: Cross multiply
    92.60x = 127.60 × 87.72
  4. Step 4: Simplify right side
    92.60x = 11,193.07
  5. Step 5: Solve for x
    x = 11,193.07/92.60
  6. Step 6: Final answer
    x = 120.88

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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.