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Finding the Fourth Proportional to 92.98, 138.53 and 89.11

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Solution

The fourth proportional to 92.98, 138.53 and 89.11 is: 132.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.98 : 138.53 = 89.11 : x
  2. Step 2: Convert to fraction form
    92.98/138.53 = 89.11/x
  3. Step 3: Cross multiply
    92.98x = 138.53 × 89.11
  4. Step 4: Simplify right side
    92.98x = 12,344.41
  5. Step 5: Solve for x
    x = 12,344.41/92.98
  6. Step 6: Final answer
    x = 132.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.