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Finding the Fourth Proportional to 4.92, 7.42 and 4.65

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Solution

The fourth proportional to 4.92, 7.42 and 4.65 is: 7.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.92 : 7.42 = 4.65 : x
  2. Step 2: Convert to fraction form
    4.92/7.42 = 4.65/x
  3. Step 3: Cross multiply
    4.92x = 7.42 × 4.65
  4. Step 4: Simplify right side
    4.92x = 34.44
  5. Step 5: Solve for x
    x = 34.44/4.92
  6. Step 6: Final answer
    x = 7.01

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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.