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Finding the Fourth Proportional to 102.89, 142.00 and 59.24

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Solution

The fourth proportional to 102.89, 142.00 and 59.24 is: 81.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.89 : 142.00 = 59.24 : x
  2. Step 2: Convert to fraction form
    102.89/142.00 = 59.24/x
  3. Step 3: Cross multiply
    102.89x = 142.00 × 59.24
  4. Step 4: Simplify right side
    102.89x = 8,411.22
  5. Step 5: Solve for x
    x = 8,411.22/102.89
  6. Step 6: Final answer
    x = 81.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.