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Finding the Fourth Proportional to 140.63, 210.54 and 89.33

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Solution

The fourth proportional to 140.63, 210.54 and 89.33 is: 133.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.63 : 210.54 = 89.33 : x
  2. Step 2: Convert to fraction form
    140.63/210.54 = 89.33/x
  3. Step 3: Cross multiply
    140.63x = 210.54 × 89.33
  4. Step 4: Simplify right side
    140.63x = 18,807.54
  5. Step 5: Solve for x
    x = 18,807.54/140.63
  6. Step 6: Final answer
    x = 133.74

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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.