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Finding the Fourth Proportional to 5.96, 9.00 and 5.92

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Solution

The fourth proportional to 5.96, 9.00 and 5.92 is: 8.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.96 : 9.00 = 5.92 : x
  2. Step 2: Convert to fraction form
    5.96/9.00 = 5.92/x
  3. Step 3: Cross multiply
    5.96x = 9.00 × 5.92
  4. Step 4: Simplify right side
    5.96x = 53.28
  5. Step 5: Solve for x
    x = 53.28/5.96
  6. Step 6: Final answer
    x = 8.95

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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.