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Finding the Fourth Proportional to 102.59, 153.85 and 34.10

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Solution

The fourth proportional to 102.59, 153.85 and 34.10 is: 51.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.59 : 153.85 = 34.10 : x
  2. Step 2: Convert to fraction form
    102.59/153.85 = 34.10/x
  3. Step 3: Cross multiply
    102.59x = 153.85 × 34.10
  4. Step 4: Simplify right side
    102.59x = 5,245.82
  5. Step 5: Solve for x
    x = 5,245.82/102.59
  6. Step 6: Final answer
    x = 51.13

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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.