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Finding the Fourth Proportional to 10.42, 15.64 and 8.18

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Solution

The fourth proportional to 10.42, 15.64 and 8.18 is: 12.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.42 : 15.64 = 8.18 : x
  2. Step 2: Convert to fraction form
    10.42/15.64 = 8.18/x
  3. Step 3: Cross multiply
    10.42x = 15.64 × 8.18
  4. Step 4: Simplify right side
    10.42x = 127.94
  5. Step 5: Solve for x
    x = 127.94/10.42
  6. Step 6: Final answer
    x = 12.28

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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.