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Finding the Fourth Proportional to 68.02, 93.80 and 53.44

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Solution

The fourth proportional to 68.02, 93.80 and 53.44 is: 73.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.02 : 93.80 = 53.44 : x
  2. Step 2: Convert to fraction form
    68.02/93.80 = 53.44/x
  3. Step 3: Cross multiply
    68.02x = 93.80 × 53.44
  4. Step 4: Simplify right side
    68.02x = 5,012.67
  5. Step 5: Solve for x
    x = 5,012.67/68.02
  6. Step 6: Final answer
    x = 73.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.