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Finding the Fourth Proportional to 43.62, 65.40 and 35.64

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Solution

The fourth proportional to 43.62, 65.40 and 35.64 is: 53.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.62 : 65.40 = 35.64 : x
  2. Step 2: Convert to fraction form
    43.62/65.40 = 35.64/x
  3. Step 3: Cross multiply
    43.62x = 65.40 × 35.64
  4. Step 4: Simplify right side
    43.62x = 2,330.86
  5. Step 5: Solve for x
    x = 2,330.86/43.62
  6. Step 6: Final answer
    x = 53.44

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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.