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Finding the Fourth Proportional to 7.05, 9.72 and 5.83

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Solution

The fourth proportional to 7.05, 9.72 and 5.83 is: 8.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.05 : 9.72 = 5.83 : x
  2. Step 2: Convert to fraction form
    7.05/9.72 = 5.83/x
  3. Step 3: Cross multiply
    7.05x = 9.72 × 5.83
  4. Step 4: Simplify right side
    7.05x = 56.67
  5. Step 5: Solve for x
    x = 56.67/7.05
  6. Step 6: Final answer
    x = 8.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.