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Finding the Fourth Proportional to 10.38, 14.34 and 7.16

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Solution

The fourth proportional to 10.38, 14.34 and 7.16 is: 9.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.38 : 14.34 = 7.16 : x
  2. Step 2: Convert to fraction form
    10.38/14.34 = 7.16/x
  3. Step 3: Cross multiply
    10.38x = 14.34 × 7.16
  4. Step 4: Simplify right side
    10.38x = 102.67
  5. Step 5: Solve for x
    x = 102.67/10.38
  6. Step 6: Final answer
    x = 9.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.