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Finding the Fourth Proportional to 9.42, 14.14 and 5.64

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Solution

The fourth proportional to 9.42, 14.14 and 5.64 is: 8.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.42 : 14.14 = 5.64 : x
  2. Step 2: Convert to fraction form
    9.42/14.14 = 5.64/x
  3. Step 3: Cross multiply
    9.42x = 14.14 × 5.64
  4. Step 4: Simplify right side
    9.42x = 79.75
  5. Step 5: Solve for x
    x = 79.75/9.42
  6. Step 6: Final answer
    x = 8.47

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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.