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Finding the Fourth Proportional to 67.77, 102.08 and 61.72

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Solution

The fourth proportional to 67.77, 102.08 and 61.72 is: 92.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.77 : 102.08 = 61.72 : x
  2. Step 2: Convert to fraction form
    67.77/102.08 = 61.72/x
  3. Step 3: Cross multiply
    67.77x = 102.08 × 61.72
  4. Step 4: Simplify right side
    67.77x = 6,300.14
  5. Step 5: Solve for x
    x = 6,300.14/67.77
  6. Step 6: Final answer
    x = 92.96

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