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Finding the Fourth Proportional to 10.07, 13.87 and 7.64

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Solution

The fourth proportional to 10.07, 13.87 and 7.64 is: 10.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.07 : 13.87 = 7.64 : x
  2. Step 2: Convert to fraction form
    10.07/13.87 = 7.64/x
  3. Step 3: Cross multiply
    10.07x = 13.87 × 7.64
  4. Step 4: Simplify right side
    10.07x = 105.97
  5. Step 5: Solve for x
    x = 105.97/10.07
  6. Step 6: Final answer
    x = 10.52

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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.