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Finding the Fourth Proportional to 67.84, 93.36 and 65.60

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Solution

The fourth proportional to 67.84, 93.36 and 65.60 is: 90.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.84 : 93.36 = 65.60 : x
  2. Step 2: Convert to fraction form
    67.84/93.36 = 65.60/x
  3. Step 3: Cross multiply
    67.84x = 93.36 × 65.60
  4. Step 4: Simplify right side
    67.84x = 6,124.42
  5. Step 5: Solve for x
    x = 6,124.42/67.84
  6. Step 6: Final answer
    x = 90.28

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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.