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Finding the Fourth Proportional to 67.83, 93.31 and 53.25

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Solution

The fourth proportional to 67.83, 93.31 and 53.25 is: 73.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.83 : 93.31 = 53.25 : x
  2. Step 2: Convert to fraction form
    67.83/93.31 = 53.25/x
  3. Step 3: Cross multiply
    67.83x = 93.31 × 53.25
  4. Step 4: Simplify right side
    67.83x = 4,968.76
  5. Step 5: Solve for x
    x = 4,968.76/67.83
  6. Step 6: Final answer
    x = 73.25

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