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Finding the Fourth Proportional to 67.84, 101.20 and 65.80

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Solution

The fourth proportional to 67.84, 101.20 and 65.80 is: 98.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.84 : 101.20 = 65.80 : x
  2. Step 2: Convert to fraction form
    67.84/101.20 = 65.80/x
  3. Step 3: Cross multiply
    67.84x = 101.20 × 65.80
  4. Step 4: Simplify right side
    67.84x = 6,658.96
  5. Step 5: Solve for x
    x = 6,658.96/67.84
  6. Step 6: Final answer
    x = 98.16

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.