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Finding the Fourth Proportional to 133.61, 200.41 and 72.77

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Solution

The fourth proportional to 133.61, 200.41 and 72.77 is: 109.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.61 : 200.41 = 72.77 : x
  2. Step 2: Convert to fraction form
    133.61/200.41 = 72.77/x
  3. Step 3: Cross multiply
    133.61x = 200.41 × 72.77
  4. Step 4: Simplify right side
    133.61x = 14,582.65
  5. Step 5: Solve for x
    x = 14,582.65/133.61
  6. Step 6: Final answer
    x = 109.15

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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.