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Finding the Fourth Proportional to 68.60, 103.34 and 57.80

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Solution

The fourth proportional to 68.60, 103.34 and 57.80 is: 87.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.60 : 103.34 = 57.80 : x
  2. Step 2: Convert to fraction form
    68.60/103.34 = 57.80/x
  3. Step 3: Cross multiply
    68.60x = 103.34 × 57.80
  4. Step 4: Simplify right side
    68.60x = 5,973.05
  5. Step 5: Solve for x
    x = 5,973.05/68.60
  6. Step 6: Final answer
    x = 87.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.