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Finding the Fourth Proportional to 102.44, 153.71 and 51.12

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Solution

The fourth proportional to 102.44, 153.71 and 51.12 is: 76.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.44 : 153.71 = 51.12 : x
  2. Step 2: Convert to fraction form
    102.44/153.71 = 51.12/x
  3. Step 3: Cross multiply
    102.44x = 153.71 × 51.12
  4. Step 4: Simplify right side
    102.44x = 7,857.59
  5. Step 5: Solve for x
    x = 7,857.59/102.44
  6. Step 6: Final answer
    x = 76.70

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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.