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Finding the Fourth Proportional to 102.50, 142.10 and 96.29

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Solution

The fourth proportional to 102.50, 142.10 and 96.29 is: 133.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.50 : 142.10 = 96.29 : x
  2. Step 2: Convert to fraction form
    102.50/142.10 = 96.29/x
  3. Step 3: Cross multiply
    102.50x = 142.10 × 96.29
  4. Step 4: Simplify right side
    102.50x = 13,682.81
  5. Step 5: Solve for x
    x = 13,682.81/102.50
  6. Step 6: Final answer
    x = 133.49

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.