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Finding the Fourth Proportional to 17.64, 24.35 and 10.64

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Solution

The fourth proportional to 17.64, 24.35 and 10.64 is: 14.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.64 : 24.35 = 10.64 : x
  2. Step 2: Convert to fraction form
    17.64/24.35 = 10.64/x
  3. Step 3: Cross multiply
    17.64x = 24.35 × 10.64
  4. Step 4: Simplify right side
    17.64x = 259.10
  5. Step 5: Solve for x
    x = 259.10/17.64
  6. Step 6: Final answer
    x = 14.68

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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.