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Finding the Fourth Proportional to 10.64, 16 and 9.76

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Solution

The fourth proportional to 10.64, 16 and 9.76 is: 14.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.64 : 16 = 9.76 : x
  2. Step 2: Convert to fraction form
    10.64/16 = 9.76/x
  3. Step 3: Cross multiply
    10.64x = 16 × 9.76
  4. Step 4: Simplify right side
    10.64x = 156.16
  5. Step 5: Solve for x
    x = 156.16/10.64
  6. Step 6: Final answer
    x = 14.68

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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.