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Finding the Fourth Proportional to 4.62, 6.89 and 4.55

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Solution

The fourth proportional to 4.62, 6.89 and 4.55 is: 6.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.62 : 6.89 = 4.55 : x
  2. Step 2: Convert to fraction form
    4.62/6.89 = 4.55/x
  3. Step 3: Cross multiply
    4.62x = 6.89 × 4.55
  4. Step 4: Simplify right side
    4.62x = 31.29
  5. Step 5: Solve for x
    x = 31.29/4.62
  6. Step 6: Final answer
    x = 6.77

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