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Finding the Fourth Proportional to 68.51, 102.77 and 32.42

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Solution

The fourth proportional to 68.51, 102.77 and 32.42 is: 48.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.51 : 102.77 = 32.42 : x
  2. Step 2: Convert to fraction form
    68.51/102.77 = 32.42/x
  3. Step 3: Cross multiply
    68.51x = 102.77 × 32.42
  4. Step 4: Simplify right side
    68.51x = 3,331.13
  5. Step 5: Solve for x
    x = 3,331.13/68.51
  6. Step 6: Final answer
    x = 48.63

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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.