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Finding the Fourth Proportional to 68.64, 102.85 and 60.47

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Solution

The fourth proportional to 68.64, 102.85 and 60.47 is: 90.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.64 : 102.85 = 60.47 : x
  2. Step 2: Convert to fraction form
    68.64/102.85 = 60.47/x
  3. Step 3: Cross multiply
    68.64x = 102.85 × 60.47
  4. Step 4: Simplify right side
    68.64x = 6,219.34
  5. Step 5: Solve for x
    x = 6,219.34/68.64
  6. Step 6: Final answer
    x = 90.61

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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.