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Finding the Fourth Proportional to 92.81, 140.00 and 89.57

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Solution

The fourth proportional to 92.81, 140.00 and 89.57 is: 135.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.81 : 140.00 = 89.57 : x
  2. Step 2: Convert to fraction form
    92.81/140.00 = 89.57/x
  3. Step 3: Cross multiply
    92.81x = 140.00 × 89.57
  4. Step 4: Simplify right side
    92.81x = 12,539.70
  5. Step 5: Solve for x
    x = 12,539.70/92.81
  6. Step 6: Final answer
    x = 135.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.