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Finding the Fourth Proportional to 43.28, 64.57 and 42.11

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Solution

The fourth proportional to 43.28, 64.57 and 42.11 is: 62.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.28 : 64.57 = 42.11 : x
  2. Step 2: Convert to fraction form
    43.28/64.57 = 42.11/x
  3. Step 3: Cross multiply
    43.28x = 64.57 × 42.11
  4. Step 4: Simplify right side
    43.28x = 2,719.04
  5. Step 5: Solve for x
    x = 2,719.04/43.28
  6. Step 6: Final answer
    x = 62.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.