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Finding the Fourth Proportional to 68.54, 102.85 and 32.47

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Solution

The fourth proportional to 68.54, 102.85 and 32.47 is: 48.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.54 : 102.85 = 32.47 : x
  2. Step 2: Convert to fraction form
    68.54/102.85 = 32.47/x
  3. Step 3: Cross multiply
    68.54x = 102.85 × 32.47
  4. Step 4: Simplify right side
    68.54x = 3,339.54
  5. Step 5: Solve for x
    x = 3,339.54/68.54
  6. Step 6: Final answer
    x = 48.72

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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.