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Finding the Fourth Proportional to 92.30, 138.65 and 87.66

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Solution

The fourth proportional to 92.30, 138.65 and 87.66 is: 131.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.30 : 138.65 = 87.66 : x
  2. Step 2: Convert to fraction form
    92.30/138.65 = 87.66/x
  3. Step 3: Cross multiply
    92.30x = 138.65 × 87.66
  4. Step 4: Simplify right side
    92.30x = 12,153.62
  5. Step 5: Solve for x
    x = 12,153.62/92.30
  6. Step 6: Final answer
    x = 131.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.