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Finding the Fourth Proportional to 68.46, 102.14 and 60.36

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Solution

The fourth proportional to 68.46, 102.14 and 60.36 is: 90.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.46 : 102.14 = 60.36 : x
  2. Step 2: Convert to fraction form
    68.46/102.14 = 60.36/x
  3. Step 3: Cross multiply
    68.46x = 102.14 × 60.36
  4. Step 4: Simplify right side
    68.46x = 6,164.87
  5. Step 5: Solve for x
    x = 6,164.87/68.46
  6. Step 6: Final answer
    x = 90.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.