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Finding the Fourth Proportional to 5.25, 7.92 and 4.59

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Solution

The fourth proportional to 5.25, 7.92 and 4.59 is: 6.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.25 : 7.92 = 4.59 : x
  2. Step 2: Convert to fraction form
    5.25/7.92 = 4.59/x
  3. Step 3: Cross multiply
    5.25x = 7.92 × 4.59
  4. Step 4: Simplify right side
    5.25x = 36.35
  5. Step 5: Solve for x
    x = 36.35/5.25
  6. Step 6: Final answer
    x = 6.92

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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.