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Finding the Fourth Proportional to 5.34, 7.38 and 4.65

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Solution

The fourth proportional to 5.34, 7.38 and 4.65 is: 6.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.34 : 7.38 = 4.65 : x
  2. Step 2: Convert to fraction form
    5.34/7.38 = 4.65/x
  3. Step 3: Cross multiply
    5.34x = 7.38 × 4.65
  4. Step 4: Simplify right side
    5.34x = 34.32
  5. Step 5: Solve for x
    x = 34.32/5.34
  6. Step 6: Final answer
    x = 6.43

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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.