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Finding the Fourth Proportional to 4.59, 6.91 and 4.02

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Solution

The fourth proportional to 4.59, 6.91 and 4.02 is: 6.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.59 : 6.91 = 4.02 : x
  2. Step 2: Convert to fraction form
    4.59/6.91 = 4.02/x
  3. Step 3: Cross multiply
    4.59x = 6.91 × 4.02
  4. Step 4: Simplify right side
    4.59x = 27.81
  5. Step 5: Solve for x
    x = 27.81/4.59
  6. Step 6: Final answer
    x = 6.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.