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Finding the Fourth Proportional to 3.42, 4.69 and 3.16

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Solution

The fourth proportional to 3.42, 4.69 and 3.16 is: 4.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.42 : 4.69 = 3.16 : x
  2. Step 2: Convert to fraction form
    3.42/4.69 = 3.16/x
  3. Step 3: Cross multiply
    3.42x = 4.69 × 3.16
  4. Step 4: Simplify right side
    3.42x = 14.82
  5. Step 5: Solve for x
    x = 14.82/3.42
  6. Step 6: Final answer
    x = 4.33

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.