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Finding the Fourth Proportional to 140.52, 211.02 and 89.46

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Solution

The fourth proportional to 140.52, 211.02 and 89.46 is: 134.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.52 : 211.02 = 89.46 : x
  2. Step 2: Convert to fraction form
    140.52/211.02 = 89.46/x
  3. Step 3: Cross multiply
    140.52x = 211.02 × 89.46
  4. Step 4: Simplify right side
    140.52x = 18,877.85
  5. Step 5: Solve for x
    x = 18,877.85/140.52
  6. Step 6: Final answer
    x = 134.34

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Why These Related Problems?

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