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Finding the Fourth Proportional to 102.14, 153.22 and 41.30

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Solution

The fourth proportional to 102.14, 153.22 and 41.30 is: 61.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.14 : 153.22 = 41.30 : x
  2. Step 2: Convert to fraction form
    102.14/153.22 = 41.30/x
  3. Step 3: Cross multiply
    102.14x = 153.22 × 41.30
  4. Step 4: Simplify right side
    102.14x = 6,327.12
  5. Step 5: Solve for x
    x = 6,327.12/102.14
  6. Step 6: Final answer
    x = 61.94

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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.