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Finding the Fourth Proportional to 68.15, 101.85 and 53.53

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Solution

The fourth proportional to 68.15, 101.85 and 53.53 is: 80.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.15 : 101.85 = 53.53 : x
  2. Step 2: Convert to fraction form
    68.15/101.85 = 53.53/x
  3. Step 3: Cross multiply
    68.15x = 101.85 × 53.53
  4. Step 4: Simplify right side
    68.15x = 5,452.03
  5. Step 5: Solve for x
    x = 5,452.03/68.15
  6. Step 6: Final answer
    x = 80.00

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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.