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Finding the Fourth Proportional to 43.16, 64.84 and 36.37

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Solution

The fourth proportional to 43.16, 64.84 and 36.37 is: 54.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.16 : 64.84 = 36.37 : x
  2. Step 2: Convert to fraction form
    43.16/64.84 = 36.37/x
  3. Step 3: Cross multiply
    43.16x = 64.84 × 36.37
  4. Step 4: Simplify right side
    43.16x = 2,358.23
  5. Step 5: Solve for x
    x = 2,358.23/43.16
  6. Step 6: Final answer
    x = 54.64

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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.