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Finding the Fourth Proportional to 102.56, 153.72 and 51.14

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Solution

The fourth proportional to 102.56, 153.72 and 51.14 is: 76.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.56 : 153.72 = 51.14 : x
  2. Step 2: Convert to fraction form
    102.56/153.72 = 51.14/x
  3. Step 3: Cross multiply
    102.56x = 153.72 × 51.14
  4. Step 4: Simplify right side
    102.56x = 7,860.47
  5. Step 5: Solve for x
    x = 7,860.47/102.56
  6. Step 6: Final answer
    x = 76.65

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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.