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Finding the Fourth Proportional to 94.52, 140.77 and 89

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Solution

The fourth proportional to 94.52, 140.77 and 89 is: 132.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.52 : 140.77 = 89 : x
  2. Step 2: Convert to fraction form
    94.52/140.77 = 89/x
  3. Step 3: Cross multiply
    94.52x = 140.77 × 89
  4. Step 4: Simplify right side
    94.52x = 12,528.53
  5. Step 5: Solve for x
    x = 12,528.53/94.52
  6. Step 6: Final answer
    x = 132.55

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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.