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Finding the Fourth Proportional to 10.20, 15.34 and 9.46

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Solution

The fourth proportional to 10.20, 15.34 and 9.46 is: 14.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.20 : 15.34 = 9.46 : x
  2. Step 2: Convert to fraction form
    10.20/15.34 = 9.46/x
  3. Step 3: Cross multiply
    10.20x = 15.34 × 9.46
  4. Step 4: Simplify right side
    10.20x = 145.12
  5. Step 5: Solve for x
    x = 145.12/10.20
  6. Step 6: Final answer
    x = 14.23

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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.