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Finding the Fourth Proportional to 3.06, 4.64 and 3.02

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Solution

The fourth proportional to 3.06, 4.64 and 3.02 is: 4.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.06 : 4.64 = 3.02 : x
  2. Step 2: Convert to fraction form
    3.06/4.64 = 3.02/x
  3. Step 3: Cross multiply
    3.06x = 4.64 × 3.02
  4. Step 4: Simplify right side
    3.06x = 14.01
  5. Step 5: Solve for x
    x = 14.01/3.06
  6. Step 6: Final answer
    x = 4.58

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.