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Finding the Fourth Proportional to 67.54, 93.06 and 53.50

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Solution

The fourth proportional to 67.54, 93.06 and 53.50 is: 73.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.54 : 93.06 = 53.50 : x
  2. Step 2: Convert to fraction form
    67.54/93.06 = 53.50/x
  3. Step 3: Cross multiply
    67.54x = 93.06 × 53.50
  4. Step 4: Simplify right side
    67.54x = 4,978.71
  5. Step 5: Solve for x
    x = 4,978.71/67.54
  6. Step 6: Final answer
    x = 73.71

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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.