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Finding the Fourth Proportional to 43.24, 64.55 and 41.74

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Solution

The fourth proportional to 43.24, 64.55 and 41.74 is: 62.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.24 : 64.55 = 41.74 : x
  2. Step 2: Convert to fraction form
    43.24/64.55 = 41.74/x
  3. Step 3: Cross multiply
    43.24x = 64.55 × 41.74
  4. Step 4: Simplify right side
    43.24x = 2,694.32
  5. Step 5: Solve for x
    x = 2,694.32/43.24
  6. Step 6: Final answer
    x = 62.31

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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.