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Finding the Fourth Proportional to 4.60, 6.34 and 4.06

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Solution

The fourth proportional to 4.60, 6.34 and 4.06 is: 5.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.60 : 6.34 = 4.06 : x
  2. Step 2: Convert to fraction form
    4.60/6.34 = 4.06/x
  3. Step 3: Cross multiply
    4.60x = 6.34 × 4.06
  4. Step 4: Simplify right side
    4.60x = 25.71
  5. Step 5: Solve for x
    x = 25.71/4.60
  6. Step 6: Final answer
    x = 5.59

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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.