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Finding the Fourth Proportional to 43.43, 65.14 and 11.37

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Solution

The fourth proportional to 43.43, 65.14 and 11.37 is: 17.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.43 : 65.14 = 11.37 : x
  2. Step 2: Convert to fraction form
    43.43/65.14 = 11.37/x
  3. Step 3: Cross multiply
    43.43x = 65.14 × 11.37
  4. Step 4: Simplify right side
    43.43x = 740.51
  5. Step 5: Solve for x
    x = 740.51/43.43
  6. Step 6: Final answer
    x = 17.05

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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.