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Finding the Fourth Proportional to 102.78, 153.99 and 75.27

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Solution

The fourth proportional to 102.78, 153.99 and 75.27 is: 112.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.78 : 153.99 = 75.27 : x
  2. Step 2: Convert to fraction form
    102.78/153.99 = 75.27/x
  3. Step 3: Cross multiply
    102.78x = 153.99 × 75.27
  4. Step 4: Simplify right side
    102.78x = 11,590.83
  5. Step 5: Solve for x
    x = 11,590.83/102.78
  6. Step 6: Final answer
    x = 112.77

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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.