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Finding the Fourth Proportional to 152.20, 228.09 and 83.77

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Solution

The fourth proportional to 152.20, 228.09 and 83.77 is: 125.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.20 : 228.09 = 83.77 : x
  2. Step 2: Convert to fraction form
    152.20/228.09 = 83.77/x
  3. Step 3: Cross multiply
    152.20x = 228.09 × 83.77
  4. Step 4: Simplify right side
    152.20x = 19,107.10
  5. Step 5: Solve for x
    x = 19,107.10/152.20
  6. Step 6: Final answer
    x = 125.54

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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.