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Finding the Fourth Proportional to 141.12, 210.83 and 89.35

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Solution

The fourth proportional to 141.12, 210.83 and 89.35 is: 133.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.12 : 210.83 = 89.35 : x
  2. Step 2: Convert to fraction form
    141.12/210.83 = 89.35/x
  3. Step 3: Cross multiply
    141.12x = 210.83 × 89.35
  4. Step 4: Simplify right side
    141.12x = 18,836.69
  5. Step 5: Solve for x
    x = 18,836.69/141.12
  6. Step 6: Final answer
    x = 133.48

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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.