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Finding the Fourth Proportional to 92.80, 140.08 and 89.60

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Solution

The fourth proportional to 92.80, 140.08 and 89.60 is: 135.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.80 : 140.08 = 89.60 : x
  2. Step 2: Convert to fraction form
    92.80/140.08 = 89.60/x
  3. Step 3: Cross multiply
    92.80x = 140.08 × 89.60
  4. Step 4: Simplify right side
    92.80x = 12,551.17
  5. Step 5: Solve for x
    x = 12,551.17/92.80
  6. Step 6: Final answer
    x = 135.25

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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.