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Finding the Fourth Proportional to 5.99, 9.02 and 5.76

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Solution

The fourth proportional to 5.99, 9.02 and 5.76 is: 8.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.99 : 9.02 = 5.76 : x
  2. Step 2: Convert to fraction form
    5.99/9.02 = 5.76/x
  3. Step 3: Cross multiply
    5.99x = 9.02 × 5.76
  4. Step 4: Simplify right side
    5.99x = 51.93
  5. Step 5: Solve for x
    x = 51.93/5.99
  6. Step 6: Final answer
    x = 8.68

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Why These Related Problems?

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