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Finding the Fourth Proportional to 102.56, 153.81 and 41.63

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Solution

The fourth proportional to 102.56, 153.81 and 41.63 is: 62.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.56 : 153.81 = 41.63 : x
  2. Step 2: Convert to fraction form
    102.56/153.81 = 41.63/x
  3. Step 3: Cross multiply
    102.56x = 153.81 × 41.63
  4. Step 4: Simplify right side
    102.56x = 6,402.34
  5. Step 5: Solve for x
    x = 6,402.34/102.56
  6. Step 6: Final answer
    x = 62.43

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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.