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Finding the Fourth Proportional to 10.56, 14.52 and 9.64

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Solution

The fourth proportional to 10.56, 14.52 and 9.64 is: 13.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.56 : 14.52 = 9.64 : x
  2. Step 2: Convert to fraction form
    10.56/14.52 = 9.64/x
  3. Step 3: Cross multiply
    10.56x = 14.52 × 9.64
  4. Step 4: Simplify right side
    10.56x = 139.97
  5. Step 5: Solve for x
    x = 139.97/10.56
  6. Step 6: Final answer
    x = 13.26

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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.