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Finding the Fourth Proportional to 102.57, 153.86 and 34.06

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Solution

The fourth proportional to 102.57, 153.86 and 34.06 is: 51.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.57 : 153.86 = 34.06 : x
  2. Step 2: Convert to fraction form
    102.57/153.86 = 34.06/x
  3. Step 3: Cross multiply
    102.57x = 153.86 × 34.06
  4. Step 4: Simplify right side
    102.57x = 5,240.47
  5. Step 5: Solve for x
    x = 5,240.47/102.57
  6. Step 6: Final answer
    x = 51.09

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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.