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Finding the Fourth Proportional to 68.06, 102.12 and 32

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Solution

The fourth proportional to 68.06, 102.12 and 32 is: 48.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.06 : 102.12 = 32 : x
  2. Step 2: Convert to fraction form
    68.06/102.12 = 32/x
  3. Step 3: Cross multiply
    68.06x = 102.12 × 32
  4. Step 4: Simplify right side
    68.06x = 3,267.84
  5. Step 5: Solve for x
    x = 3,267.84/68.06
  6. Step 6: Final answer
    x = 48.01

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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.