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Finding the Fourth Proportional to 183.54, 275.20 and 87.35

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Solution

The fourth proportional to 183.54, 275.20 and 87.35 is: 130.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.54 : 275.20 = 87.35 : x
  2. Step 2: Convert to fraction form
    183.54/275.20 = 87.35/x
  3. Step 3: Cross multiply
    183.54x = 275.20 × 87.35
  4. Step 4: Simplify right side
    183.54x = 24,038.72
  5. Step 5: Solve for x
    x = 24,038.72/183.54
  6. Step 6: Final answer
    x = 130.97

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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.