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Finding the Fourth Proportional to 10.38, 15.46 and 10.34

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Solution

The fourth proportional to 10.38, 15.46 and 10.34 is: 15.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.38 : 15.46 = 10.34 : x
  2. Step 2: Convert to fraction form
    10.38/15.46 = 10.34/x
  3. Step 3: Cross multiply
    10.38x = 15.46 × 10.34
  4. Step 4: Simplify right side
    10.38x = 159.86
  5. Step 5: Solve for x
    x = 159.86/10.38
  6. Step 6: Final answer
    x = 15.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.