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Finding the Fourth Proportional to 4.62, 6.89 and 4.52

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Solution

The fourth proportional to 4.62, 6.89 and 4.52 is: 6.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.62 : 6.89 = 4.52 : x
  2. Step 2: Convert to fraction form
    4.62/6.89 = 4.52/x
  3. Step 3: Cross multiply
    4.62x = 6.89 × 4.52
  4. Step 4: Simplify right side
    4.62x = 31.17
  5. Step 5: Solve for x
    x = 31.17/4.62
  6. Step 6: Final answer
    x = 6.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.