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Finding the Fourth Proportional to 5.11, 7.70 and 4.58

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Solution

The fourth proportional to 5.11, 7.70 and 4.58 is: 6.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.11 : 7.70 = 4.58 : x
  2. Step 2: Convert to fraction form
    5.11/7.70 = 4.58/x
  3. Step 3: Cross multiply
    5.11x = 7.70 × 4.58
  4. Step 4: Simplify right side
    5.11x = 35.27
  5. Step 5: Solve for x
    x = 35.27/5.11
  6. Step 6: Final answer
    x = 6.90

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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.