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Finding the Fourth Proportional to 10.68, 15.80 and 10.64

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Solution

The fourth proportional to 10.68, 15.80 and 10.64 is: 15.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.68 : 15.80 = 10.64 : x
  2. Step 2: Convert to fraction form
    10.68/15.80 = 10.64/x
  3. Step 3: Cross multiply
    10.68x = 15.80 × 10.64
  4. Step 4: Simplify right side
    10.68x = 168.11
  5. Step 5: Solve for x
    x = 168.11/10.68
  6. Step 6: Final answer
    x = 15.74

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.