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Finding the Fourth Proportional to 8.42, 12.64 and 5.42

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Solution

The fourth proportional to 8.42, 12.64 and 5.42 is: 8.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.42 : 12.64 = 5.42 : x
  2. Step 2: Convert to fraction form
    8.42/12.64 = 5.42/x
  3. Step 3: Cross multiply
    8.42x = 12.64 × 5.42
  4. Step 4: Simplify right side
    8.42x = 68.51
  5. Step 5: Solve for x
    x = 68.51/8.42
  6. Step 6: Final answer
    x = 8.14

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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.