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Finding the Fourth Proportional to 9.70, 14.51 and 8.42

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Solution

The fourth proportional to 9.70, 14.51 and 8.42 is: 12.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.70 : 14.51 = 8.42 : x
  2. Step 2: Convert to fraction form
    9.70/14.51 = 8.42/x
  3. Step 3: Cross multiply
    9.70x = 14.51 × 8.42
  4. Step 4: Simplify right side
    9.70x = 122.12
  5. Step 5: Solve for x
    x = 122.12/9.70
  6. Step 6: Final answer
    x = 12.59

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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.