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Finding the Fourth Proportional to 181.03, 271.56 and 52.78

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Solution

The fourth proportional to 181.03, 271.56 and 52.78 is: 79.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.03 : 271.56 = 52.78 : x
  2. Step 2: Convert to fraction form
    181.03/271.56 = 52.78/x
  3. Step 3: Cross multiply
    181.03x = 271.56 × 52.78
  4. Step 4: Simplify right side
    181.03x = 14,332.94
  5. Step 5: Solve for x
    x = 14,332.94/181.03
  6. Step 6: Final answer
    x = 79.17

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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.