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Finding the Fourth Proportional to 102.52, 153.64 and 86.44

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Solution

The fourth proportional to 102.52, 153.64 and 86.44 is: 129.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.52 : 153.64 = 86.44 : x
  2. Step 2: Convert to fraction form
    102.52/153.64 = 86.44/x
  3. Step 3: Cross multiply
    102.52x = 153.64 × 86.44
  4. Step 4: Simplify right side
    102.52x = 13,280.64
  5. Step 5: Solve for x
    x = 13,280.64/102.52
  6. Step 6: Final answer
    x = 129.54

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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.