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Finding the Fourth Proportional to 43.64, 65.34 and 42.22

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Solution

The fourth proportional to 43.64, 65.34 and 42.22 is: 63.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.64 : 65.34 = 42.22 : x
  2. Step 2: Convert to fraction form
    43.64/65.34 = 42.22/x
  3. Step 3: Cross multiply
    43.64x = 65.34 × 42.22
  4. Step 4: Simplify right side
    43.64x = 2,758.74
  5. Step 5: Solve for x
    x = 2,758.74/43.64
  6. Step 6: Final answer
    x = 63.22

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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.